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Finding the Third Proportional to 69,281,357 and 96,859,416

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Solution

The third proportional to 69,281,357 and 96,859,416 is: 135,415,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,281,357 : 96,859,416 = 96,859,416 : x
  2. Step 2: Convert to fraction form
    69,281,357/96,859,416 = 96,859,416/x
  3. Step 3: Cross multiply
    69,281,357x = 96,859,416 × 96,859,416
  4. Step 4: Simplify right side
    69,281,357x = 9,381,746,467,861,056
  5. Step 5: Solve for x
    x = 9,381,746,467,861,056/69,281,357
  6. Step 6: Final answer
    x = 135,415,166.13

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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.