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Finding the Third Proportional to 88,687 and 191,441

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Solution

The third proportional to 88,687 and 191,441 is: 413,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,687 : 191,441 = 191,441 : x
  2. Step 2: Convert to fraction form
    88,687/191,441 = 191,441/x
  3. Step 3: Cross multiply
    88,687x = 191,441 × 191,441
  4. Step 4: Simplify right side
    88,687x = 36,649,656,481
  5. Step 5: Solve for x
    x = 36,649,656,481/88,687
  6. Step 6: Final answer
    x = 413,247.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.