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Finding the Third Proportional to 91,892 and 200,192

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Solution

The third proportional to 91,892 and 200,192 is: 436,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,892 : 200,192 = 200,192 : x
  2. Step 2: Convert to fraction form
    91,892/200,192 = 200,192/x
  3. Step 3: Cross multiply
    91,892x = 200,192 × 200,192
  4. Step 4: Simplify right side
    91,892x = 40,076,836,864
  5. Step 5: Solve for x
    x = 40,076,836,864/91,892
  6. Step 6: Final answer
    x = 436,129.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.