Finding the Third Proportional to 106,086,456 and 231,894,352
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Solution
The third proportional to 106,086,456 and 231,894,352 is: 506,897,793.72
Step by Step Solution
- Step 1: Write the proportion equation
106,086,456 : 231,894,352 = 231,894,352 : x - Step 2: Convert to fraction form
106,086,456/231,894,352 = 231,894,352/x - Step 3: Cross multiply
106,086,456x = 231,894,352 × 231,894,352 - Step 4: Simplify right side
106,086,456x = 53,774,990,489,499,904 - Step 5: Solve for x
x = 53,774,990,489,499,904/106,086,456 - Step 6: Final answer
x = 506,897,793.72
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.