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Finding the Third Proportional to 87,801 and 195,310

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Solution

The third proportional to 87,801 and 195,310 is: 434,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,801 : 195,310 = 195,310 : x
  2. Step 2: Convert to fraction form
    87,801/195,310 = 195,310/x
  3. Step 3: Cross multiply
    87,801x = 195,310 × 195,310
  4. Step 4: Simplify right side
    87,801x = 38,145,996,100
  5. Step 5: Solve for x
    x = 38,145,996,100/87,801
  6. Step 6: Final answer
    x = 434,459.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.