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Finding the Third Proportional to 75,850,713 and 166,465,404

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Solution

The third proportional to 75,850,713 and 166,465,404 is: 365,332,501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850,713 : 166,465,404 = 166,465,404 : x
  2. Step 2: Convert to fraction form
    75,850,713/166,465,404 = 166,465,404/x
  3. Step 3: Cross multiply
    75,850,713x = 166,465,404 × 166,465,404
  4. Step 4: Simplify right side
    75,850,713x = 27,710,730,728,883,216
  5. Step 5: Solve for x
    x = 27,710,730,728,883,216/75,850,713
  6. Step 6: Final answer
    x = 365,332,501.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.