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Finding the Third Proportional to 96,676 and 212,949

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Solution

The third proportional to 96,676 and 212,949 is: 469,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,676 : 212,949 = 212,949 : x
  2. Step 2: Convert to fraction form
    96,676/212,949 = 212,949/x
  3. Step 3: Cross multiply
    96,676x = 212,949 × 212,949
  4. Step 4: Simplify right side
    96,676x = 45,347,276,601
  5. Step 5: Solve for x
    x = 45,347,276,601/96,676
  6. Step 6: Final answer
    x = 469,064.47

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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.