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Finding the Third Proportional to 88,831 and 187,643

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Solution

The third proportional to 88,831 and 187,643 is: 396,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,831 : 187,643 = 187,643 : x
  2. Step 2: Convert to fraction form
    88,831/187,643 = 187,643/x
  3. Step 3: Cross multiply
    88,831x = 187,643 × 187,643
  4. Step 4: Simplify right side
    88,831x = 35,209,895,449
  5. Step 5: Solve for x
    x = 35,209,895,449/88,831
  6. Step 6: Final answer
    x = 396,369.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.