Twitter and the crazy limit on API calls

First time I developed a code that integrate with twitter API, was OK but I was surprised to see that the limit on the API calls when using app authentication ( e.g. don't force end user to login to twitter ) is crazy low !

For example of I make a mobile app that allows you to see the timeline of a user and use my app to authenticate , I get 300 calls per 15 min limit

Now let's assume that my app was downloaded 20k times , the risk of reaching the limit is 100%

Which means that I have to switch to user authentication and force my users to login , while there is benefit, this is still annoying

Check limits here