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Finding the Third Proportional to 69,281,350 and 96,859,406

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Solution

The third proportional to 69,281,350 and 96,859,406 is: 135,415,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,281,350 : 96,859,406 = 96,859,406 : x
  2. Step 2: Convert to fraction form
    69,281,350/96,859,406 = 96,859,406/x
  3. Step 3: Cross multiply
    69,281,350x = 96,859,406 × 96,859,406
  4. Step 4: Simplify right side
    69,281,350x = 9,381,744,530,672,836
  5. Step 5: Solve for x
    x = 9,381,744,530,672,836/69,281,350
  6. Step 6: Final answer
    x = 135,415,151.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.