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Finding the Third Proportional to 109,813,416 and 234,218,256

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Solution

The third proportional to 109,813,416 and 234,218,256 is: 499,558,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,813,416 : 234,218,256 = 234,218,256 : x
  2. Step 2: Convert to fraction form
    109,813,416/234,218,256 = 234,218,256/x
  3. Step 3: Cross multiply
    109,813,416x = 234,218,256 × 234,218,256
  4. Step 4: Simplify right side
    109,813,416x = 54,858,191,443,681,536
  5. Step 5: Solve for x
    x = 54,858,191,443,681,536/109,813,416
  6. Step 6: Final answer
    x = 499,558,190.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.