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Finding the Third Proportional to 101,871 and 216,882

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Solution

The third proportional to 101,871 and 216,882 is: 461,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,871 : 216,882 = 216,882 : x
  2. Step 2: Convert to fraction form
    101,871/216,882 = 216,882/x
  3. Step 3: Cross multiply
    101,871x = 216,882 × 216,882
  4. Step 4: Simplify right side
    101,871x = 47,037,801,924
  5. Step 5: Solve for x
    x = 47,037,801,924/101,871
  6. Step 6: Final answer
    x = 461,738.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.