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Finding the Third Proportional to 69,281,361 and 96,859,422

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Solution

The third proportional to 69,281,361 and 96,859,422 is: 135,415,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,281,361 : 96,859,422 = 96,859,422 : x
  2. Step 2: Convert to fraction form
    69,281,361/96,859,422 = 96,859,422/x
  3. Step 3: Cross multiply
    69,281,361x = 96,859,422 × 96,859,422
  4. Step 4: Simplify right side
    69,281,361x = 9,381,747,630,174,084
  5. Step 5: Solve for x
    x = 9,381,747,630,174,084/69,281,361
  6. Step 6: Final answer
    x = 135,415,175.09

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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.