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Finding the Third Proportional to 100,892 and 219,256

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Solution

The third proportional to 100,892 and 219,256 is: 476,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,892 : 219,256 = 219,256 : x
  2. Step 2: Convert to fraction form
    100,892/219,256 = 219,256/x
  3. Step 3: Cross multiply
    100,892x = 219,256 × 219,256
  4. Step 4: Simplify right side
    100,892x = 48,073,193,536
  5. Step 5: Solve for x
    x = 48,073,193,536/100,892
  6. Step 6: Final answer
    x = 476,481.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.