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Finding the Third Proportional to 106,086,448 and 231,894,336

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Solution

The third proportional to 106,086,448 and 231,894,336 is: 506,897,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,086,448 : 231,894,336 = 231,894,336 : x
  2. Step 2: Convert to fraction form
    106,086,448/231,894,336 = 231,894,336/x
  3. Step 3: Cross multiply
    106,086,448x = 231,894,336 × 231,894,336
  4. Step 4: Simplify right side
    106,086,448x = 53,774,983,068,880,896
  5. Step 5: Solve for x
    x = 53,774,983,068,880,896/106,086,448
  6. Step 6: Final answer
    x = 506,897,761.99

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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.