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Finding the Third Proportional to 131,311.13 and 192,309.19

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Solution

The third proportional to 131,311.13 and 192,309.19 is: 281,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,311.13 : 192,309.19 = 192,309.19 : x
  2. Step 2: Convert to fraction form
    131,311.13/192,309.19 = 192,309.19/x
  3. Step 3: Cross multiply
    131,311.13x = 192,309.19 × 192,309.19
  4. Step 4: Simplify right side
    131,311.13x = 36,982,823,596.91
  5. Step 5: Solve for x
    x = 36,982,823,596.91/131,311.13
  6. Step 6: Final answer
    x = 281,642.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.