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Finding the Third Proportional to 96,722 and 212,452

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Solution

The third proportional to 96,722 and 212,452 is: 466,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,722 : 212,452 = 212,452 : x
  2. Step 2: Convert to fraction form
    96,722/212,452 = 212,452/x
  3. Step 3: Cross multiply
    96,722x = 212,452 × 212,452
  4. Step 4: Simplify right side
    96,722x = 45,135,852,304
  5. Step 5: Solve for x
    x = 45,135,852,304/96,722
  6. Step 6: Final answer
    x = 466,655.49

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