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Finding the Third Proportional to 110,335,600 and 234,120,432

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Solution

The third proportional to 110,335,600 and 234,120,432 is: 496,778,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,335,600 : 234,120,432 = 234,120,432 : x
  2. Step 2: Convert to fraction form
    110,335,600/234,120,432 = 234,120,432/x
  3. Step 3: Cross multiply
    110,335,600x = 234,120,432 × 234,120,432
  4. Step 4: Simplify right side
    110,335,600x = 54,812,376,679,866,624
  5. Step 5: Solve for x
    x = 54,812,376,679,866,624/110,335,600
  6. Step 6: Final answer
    x = 496,778,706.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.