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Finding the Third Proportional to 96,676 and 212,422

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Solution

The third proportional to 96,676 and 212,422 is: 466,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,676 : 212,422 = 212,422 : x
  2. Step 2: Convert to fraction form
    96,676/212,422 = 212,422/x
  3. Step 3: Cross multiply
    96,676x = 212,422 × 212,422
  4. Step 4: Simplify right side
    96,676x = 45,123,106,084
  5. Step 5: Solve for x
    x = 45,123,106,084/96,676
  6. Step 6: Final answer
    x = 466,745.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.