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Finding the Third Proportional to 83,760.33 and 180,642.66

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Solution

The third proportional to 83,760.33 and 180,642.66 is: 389,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,760.33 : 180,642.66 = 180,642.66 : x
  2. Step 2: Convert to fraction form
    83,760.33/180,642.66 = 180,642.66/x
  3. Step 3: Cross multiply
    83,760.33x = 180,642.66 × 180,642.66
  4. Step 4: Simplify right side
    83,760.33x = 32,631,769,257.06
  5. Step 5: Solve for x
    x = 32,631,769,257.06/83,760.33
  6. Step 6: Final answer
    x = 389,585.02

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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.