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Finding the Third Proportional to 69,281,380.69 and 96,859,450.69

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Solution

The third proportional to 69,281,380.69 and 96,859,450.69 is: 135,415,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,281,380.69 : 96,859,450.69 = 96,859,450.69 : x
  2. Step 2: Convert to fraction form
    69,281,380.69/96,859,450.69 = 96,859,450.69/x
  3. Step 3: Cross multiply
    69,281,380.69x = 96,859,450.69 × 96,859,450.69
  4. Step 4: Simplify right side
    69,281,380.69x = 9,381,753,187,484,244
  5. Step 5: Solve for x
    x = 9,381,753,187,484,244/69,281,380.69
  6. Step 6: Final answer
    x = 135,415,216.82

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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.