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Finding the Third Proportional to 71,834,304 and 109,544,997

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Solution

The third proportional to 71,834,304 and 109,544,997 is: 167,052,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,834,304 : 109,544,997 = 109,544,997 : x
  2. Step 2: Convert to fraction form
    71,834,304/109,544,997 = 109,544,997/x
  3. Step 3: Cross multiply
    71,834,304x = 109,544,997 × 109,544,997
  4. Step 4: Simplify right side
    71,834,304x = 12,000,106,367,730,008
  5. Step 5: Solve for x
    x = 12,000,106,367,730,008/71,834,304
  6. Step 6: Final answer
    x = 167,052,587.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.