Would a relationship with two biual girls and one guy work out?

I want some input before I get more involved in something like this. I'm the guy and I'm heavily attracted to both the girls and both of the girls are heavily attracted to one another. We all get along very well (all three of us together like a trinity or a triad), and our personalities fit each other. It seems like all three of us are in love with each other at the same time. Does anyone have any similar experience or know anyone with a relationship or previous relationship like this? I really want this to work out. Thanks.