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Finding the Third Proportional to 91,892 and 198,850

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Solution

The third proportional to 91,892 and 198,850 is: 430,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,892 : 198,850 = 198,850 : x
  2. Step 2: Convert to fraction form
    91,892/198,850 = 198,850/x
  3. Step 3: Cross multiply
    91,892x = 198,850 × 198,850
  4. Step 4: Simplify right side
    91,892x = 39,541,322,500
  5. Step 5: Solve for x
    x = 39,541,322,500/91,892
  6. Step 6: Final answer
    x = 430,302.12

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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.