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Finding the Third Proportional to 98,691 and 212,934

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Solution

The third proportional to 98,691 and 212,934 is: 459,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,691 : 212,934 = 212,934 : x
  2. Step 2: Convert to fraction form
    98,691/212,934 = 212,934/x
  3. Step 3: Cross multiply
    98,691x = 212,934 × 212,934
  4. Step 4: Simplify right side
    98,691x = 45,340,888,356
  5. Step 5: Solve for x
    x = 45,340,888,356/98,691
  6. Step 6: Final answer
    x = 459,422.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.