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Finding the Third Proportional to 87,538 and 190,919

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Solution

The third proportional to 87,538 and 190,919 is: 416,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,538 : 190,919 = 190,919 : x
  2. Step 2: Convert to fraction form
    87,538/190,919 = 190,919/x
  3. Step 3: Cross multiply
    87,538x = 190,919 × 190,919
  4. Step 4: Simplify right side
    87,538x = 36,450,064,561
  5. Step 5: Solve for x
    x = 36,450,064,561/87,538
  6. Step 6: Final answer
    x = 416,391.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.