Conditional Sum Based On Two Columns

I have a little problem I would like some assistance on. I pull data from a data warehouse into an Excel spreadsheet that is linked to another spreadsheet that consolidates the data. I need to add the PGL Grads only for completed classes which are usually show zero (Actual Grads column) unless there were no entries (Actual Entries). Currently, the formula used is =SUMIF($I$104:$I$118,">0",$H$104:$H$118) but this can cause problems if there is a zero value for a completed class. In the example below, the total for PGL grads is 142 but in reality it should be 158, the zero value for class 2008008 skewing the result. I have tried variations of SUMIF, SUMPRODUCT, and SUM and end up with the same results. The warehouse data puts zero values in the Actual Grads column for classes that have not completed and I know I can make this work with blank values but that just creates another step in the process ...