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Finding the Third Proportional to 71,196,304 and 106,984,027

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Solution

The third proportional to 71,196,304 and 106,984,027 is: 160,760,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,196,304 : 106,984,027 = 106,984,027 : x
  2. Step 2: Convert to fraction form
    71,196,304/106,984,027 = 106,984,027/x
  3. Step 3: Cross multiply
    71,196,304x = 106,984,027 × 106,984,027
  4. Step 4: Simplify right side
    71,196,304x = 11,445,582,033,136,728
  5. Step 5: Solve for x
    x = 11,445,582,033,136,728/71,196,304
  6. Step 6: Final answer
    x = 160,760,901.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.