what should yousay if you want to start a long term relationship with her
There's nothing wrong with wanting to have a long-term relationship. But DX is right, you're a little off mentally here.
Can you ask a girl to be your girlfriend? Sure. Will the relationship last long? Probably not, but it's possible. So what's the problem with your thought process here is probably what you're wondering.
IF YOU ASK THE GIRL TO BE YOUR GIRLFRIEND, YOU'RE GIVING UP YOUR BEST WEAPON, CHALLENGE. Why would an average girl that changes her mind every 20 seconds want something she can have? She probably wouldn't. I'm not saying asking a girl to be exclusive will guarantee that it won't last, but you're losing some ground in the process. You're holding up a white flag saying, I give up, I want you. Make no mistake about it. I wouldn't recommend trying this.
Instead, just assert your presence a little more(once you've been dating for awhile). Spending more time together will probably turn into an LTR at some point.
A little jealousy never hurt this kind of situation either...she sees you with another girl, she'll realize she wants you to herself.