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Finding the Third Proportional to 83,789.25 and 180,699.75

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Solution

The third proportional to 83,789.25 and 180,699.75 is: 389,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,789.25 : 180,699.75 = 180,699.75 : x
  2. Step 2: Convert to fraction form
    83,789.25/180,699.75 = 180,699.75/x
  3. Step 3: Cross multiply
    83,789.25x = 180,699.75 × 180,699.75
  4. Step 4: Simplify right side
    83,789.25x = 32,652,399,650.06
  5. Step 5: Solve for x
    x = 32,652,399,650.06/83,789.25
  6. Step 6: Final answer
    x = 389,696.76

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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.