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Finding the Third Proportional to 68,920,992 and 106,704,864

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Solution

The third proportional to 68,920,992 and 106,704,864 is: 165,202,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,920,992 : 106,704,864 = 106,704,864 : x
  2. Step 2: Convert to fraction form
    68,920,992/106,704,864 = 106,704,864/x
  3. Step 3: Cross multiply
    68,920,992x = 106,704,864 × 106,704,864
  4. Step 4: Simplify right side
    68,920,992x = 11,385,928,001,258,496
  5. Step 5: Solve for x
    x = 11,385,928,001,258,496/68,920,992
  6. Step 6: Final answer
    x = 165,202,613.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.