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Finding the Third Proportional to 81,648 and 192,000.38

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Solution

The third proportional to 81,648 and 192,000.38 is: 451,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,648 : 192,000.38 = 192,000.38 : x
  2. Step 2: Convert to fraction form
    81,648/192,000.38 = 192,000.38/x
  3. Step 3: Cross multiply
    81,648x = 192,000.38 × 192,000.38
  4. Step 4: Simplify right side
    81,648x = 36,864,144,000.14
  5. Step 5: Solve for x
    x = 36,864,144,000.14/81,648
  6. Step 6: Final answer
    x = 451,500.88

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.