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Finding the Third Proportional to 87,627 and 191,838

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Solution

The third proportional to 87,627 and 191,838 is: 419,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,627 : 191,838 = 191,838 : x
  2. Step 2: Convert to fraction form
    87,627/191,838 = 191,838/x
  3. Step 3: Cross multiply
    87,627x = 191,838 × 191,838
  4. Step 4: Simplify right side
    87,627x = 36,801,818,244
  5. Step 5: Solve for x
    x = 36,801,818,244/87,627
  6. Step 6: Final answer
    x = 419,982.63

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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.