Finding the Third Proportional to 199,775,568,380.05 and 471,434,587,016.62
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Solution
The third proportional to 199,775,568,380.05 and 471,434,587,016.62 is: 1,112,501,251,467.97
Step by Step Solution
- Step 1: Write the proportion equation
199,775,568,380.05 : 471,434,587,016.62 = 471,434,587,016.62 : x - Step 2: Convert to fraction form
199,775,568,380.05/471,434,587,016.62 = 471,434,587,016.62/x - Step 3: Cross multiply
199,775,568,380.05x = 471,434,587,016.62 × 471,434,587,016.62 - Step 4: Simplify right side
199,775,568,380.05x = 222,250,569,835,531,066,146,816 - Step 5: Solve for x
x = 222,250,569,835,531,066,146,816/199,775,568,380.05 - Step 6: Final answer
x = 1,112,501,251,467.97
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.