Finding the Third Proportional to 202,412,119.31 and 310,983,850.13
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Solution
The third proportional to 202,412,119.31 and 310,983,850.13 is: 477,792,314.84
Step by Step Solution
- Step 1: Write the proportion equation
202,412,119.31 : 310,983,850.13 = 310,983,850.13 : x - Step 2: Convert to fraction form
202,412,119.31/310,983,850.13 = 310,983,850.13/x - Step 3: Cross multiply
202,412,119.31x = 310,983,850.13 × 310,983,850.13 - Step 4: Simplify right side
202,412,119.31x = 96,710,955,038,568,464 - Step 5: Solve for x
x = 96,710,955,038,568,464/202,412,119.31 - Step 6: Final answer
x = 477,792,314.84
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.