Ballast and Stepdown question

Hey everyone,

So I've just bought a ballast that was 120v. My bad, all the electrical wholesalers didn't have the particular wattage I wanted.

I've decided to use my step down converter that I use for American Compliances.

Only problem is that my converter is 200w which is only 2.2amps at 120v

My Ballast from what it says is
HPF (120v)
-Open Circuit 1.2 - 2.1A
-Short Circuit 1 - 1.7A

NPF (120v)
-Open Circuit N/A
-Short Circuit 2.3 - 3.6A

And from the label:
Ballast 100w HPS 120v 60Hz NPF

From looking around the internet, I have found that HPF have a capacitor inside them that reduce the amp but I can hook up a Cap(46uF) to my NPF to reduce the Amp.

So my question would be if I hook up the Cap to the ballast would I reduce the amps enough to run my ballast of the converter? (Assuming my ballast is of the NPF type and has a short circuit with 2.3 - 3.6A)

or would I be better of just purchasing a 500w step down?

Note: A step down converts voltage from 240v to 120v

Thank you in advanced.