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Finding the Third Proportional to 87,849 and 193,194

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Solution

The third proportional to 87,849 and 193,194 is: 424,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,849 : 193,194 = 193,194 : x
  2. Step 2: Convert to fraction form
    87,849/193,194 = 193,194/x
  3. Step 3: Cross multiply
    87,849x = 193,194 × 193,194
  4. Step 4: Simplify right side
    87,849x = 37,323,921,636
  5. Step 5: Solve for x
    x = 37,323,921,636/87,849
  6. Step 6: Final answer
    x = 424,864.50

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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.