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Finding the Third Proportional to 92,452 and 199,635.75

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Solution

The third proportional to 92,452 and 199,635.75 is: 431,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,452 : 199,635.75 = 199,635.75 : x
  2. Step 2: Convert to fraction form
    92,452/199,635.75 = 199,635.75/x
  3. Step 3: Cross multiply
    92,452x = 199,635.75 × 199,635.75
  4. Step 4: Simplify right side
    92,452x = 39,854,432,678.06
  5. Step 5: Solve for x
    x = 39,854,432,678.06/92,452
  6. Step 6: Final answer
    x = 431,082.43

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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.