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Finding the Third Proportional to 83,409.75 and 181,369.13

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Solution

The third proportional to 83,409.75 and 181,369.13 is: 394,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,409.75 : 181,369.13 = 181,369.13 : x
  2. Step 2: Convert to fraction form
    83,409.75/181,369.13 = 181,369.13/x
  3. Step 3: Cross multiply
    83,409.75x = 181,369.13 × 181,369.13
  4. Step 4: Simplify right side
    83,409.75x = 32,894,759,503.27
  5. Step 5: Solve for x
    x = 32,894,759,503.27/83,409.75
  6. Step 6: Final answer
    x = 394,375.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.