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Finding the Third Proportional to 40,892 and 88,229

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Solution

The third proportional to 40,892 and 88,229 is: 190,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,892 : 88,229 = 88,229 : x
  2. Step 2: Convert to fraction form
    40,892/88,229 = 88,229/x
  3. Step 3: Cross multiply
    40,892x = 88,229 × 88,229
  4. Step 4: Simplify right side
    40,892x = 7,784,356,441
  5. Step 5: Solve for x
    x = 7,784,356,441/40,892
  6. Step 6: Final answer
    x = 190,363.80

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