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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

  1. Step 1: Write the proportion equation
    106,086,456 : 231,894,352 = 231,894,352 : x
  2. Step 2: Convert to fraction form
    106,086,456/231,894,352 = 231,894,352/x
  3. Step 3: Cross multiply
    106,086,456x = 231,894,352 × 231,894,352
  4. Step 4: Simplify right side
    106,086,456x = 53,774,990,489,499,904
  5. Step 5: Solve for x
    x = 53,774,990,489,499,904/106,086,456
  6. Step 6: Final answer
    x = 506,897,793.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.