You CAN try and be with both. You CAN just forget both of them. You CAN choose one. You CAN do a lot of things. What I would suggest doing though, is going on dates with each and figure out who you really like more. That's the point of dating.
you could be a polygamist, like the dude from sister wives! lol no, DONT do that! but seriously, in a situation like that, you have to make a decision, who makes you happier, and who can you see yourself with more!
If you are in a situation where you like them both, don't get into an exclusive relationship with either one. Nothing wrong with dating more than one person if you are upfront about it. You are single, not married.
Follow your heart, not your head. I've been in your position and let me tell you; if you choose with your head (he is so responsible/my friends like him/good manners) you will always keep loving the other one. If you choose the one you really love, you will be happy together or get your heart broken, but at least you'll know. If you're sure you like them both equally, than you should think about the one you really can not live without; there must be one that you want more.
What to do? I like 3 girls. Atlast i chose 1 girl of the 3. She is not as preety as the remaining two(they were very very very beautiful).but i really dont know,i kind of fell in love with her at once and even decided to marry her. Meaning(FOLLOW YOUR HEART)