Need to find pounds per cubic feer rounded to the nearest hundredth

We are giving
a medicine with density
[tex]2200\frac{kg}{m^3}[/tex]we are request to find th density in pounds/ft^3
[tex]\frac{lb}{ft^3}[/tex]the trick here is that the units we don't want to use get's canceled
Open itsi way to the new units
as following
[tex]\frac{kg}{m^3}*\frac{lb}{kg}*\frac{m^3}{ft^3}=\frac{lb}{ft^3}[/tex]then
the 2200 density of medicine
[tex]2200\frac{kg}{m^3}*\frac{2.2lb}{1kg}*\frac{1m^3}{35.3ft^3}[/tex][tex]2200\frac{kg}{m^3}*\frac{2.2lb}{1kg}*\frac{1m^3}{35.3ft^3}=137.11\frac{lb}{ft^3}[/tex]then
2200kg/m^3 = 137.11 lb/ft^3