Finding the Third Proportional to 106,348,744.13 and 230,847,765.75
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Solution
The third proportional to 106,348,744.13 and 230,847,765.75 is: 501,093,749.53
Step by Step Solution
- Step 1: Write the proportion equation
106,348,744.13 : 230,847,765.75 = 230,847,765.75 : x - Step 2: Convert to fraction form
106,348,744.13/230,847,765.75 = 230,847,765.75/x - Step 3: Cross multiply
106,348,744.13x = 230,847,765.75 × 230,847,765.75 - Step 4: Simplify right side
106,348,744.13x = 53,290,690,951,766,872 - Step 5: Solve for x
x = 53,290,690,951,766,872/106,348,744.13 - Step 6: Final answer
x = 501,093,749.53
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.