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Finding the Third Proportional to 91,892 and 197,864

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Solution

The third proportional to 91,892 and 197,864 is: 426,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,892 : 197,864 = 197,864 : x
  2. Step 2: Convert to fraction form
    91,892/197,864 = 197,864/x
  3. Step 3: Cross multiply
    91,892x = 197,864 × 197,864
  4. Step 4: Simplify right side
    91,892x = 39,150,162,496
  5. Step 5: Solve for x
    x = 39,150,162,496/91,892
  6. Step 6: Final answer
    x = 426,045.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.