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Finding the Third Proportional to 83,366.50 and 182,544.75

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Solution

The third proportional to 83,366.50 and 182,544.75 is: 399,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,366.50 : 182,544.75 = 182,544.75 : x
  2. Step 2: Convert to fraction form
    83,366.50/182,544.75 = 182,544.75/x
  3. Step 3: Cross multiply
    83,366.50x = 182,544.75 × 182,544.75
  4. Step 4: Simplify right side
    83,366.50x = 33,322,585,752.56
  5. Step 5: Solve for x
    x = 33,322,585,752.56/83,366.50
  6. Step 6: Final answer
    x = 399,711.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.