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Finding the Third Proportional to 87,847 and 193,187

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Solution

The third proportional to 87,847 and 193,187 is: 424,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,847 : 193,187 = 193,187 : x
  2. Step 2: Convert to fraction form
    87,847/193,187 = 193,187/x
  3. Step 3: Cross multiply
    87,847x = 193,187 × 193,187
  4. Step 4: Simplify right side
    87,847x = 37,321,216,969
  5. Step 5: Solve for x
    x = 37,321,216,969/87,847
  6. Step 6: Final answer
    x = 424,843.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.