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Finding the Third Proportional to 83,760.38 and 180,641.81

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Solution

The third proportional to 83,760.38 and 180,641.81 is: 389,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,760.38 : 180,641.81 = 180,641.81 : x
  2. Step 2: Convert to fraction form
    83,760.38/180,641.81 = 180,641.81/x
  3. Step 3: Cross multiply
    83,760.38x = 180,641.81 × 180,641.81
  4. Step 4: Simplify right side
    83,760.38x = 32,631,464,423.29
  5. Step 5: Solve for x
    x = 32,631,464,423.29/83,760.38
  6. Step 6: Final answer
    x = 389,581.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.