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Finding the Third Proportional to 84,835.13 and 186,481.69

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Solution

The third proportional to 84,835.13 and 186,481.69 is: 409,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,835.13 : 186,481.69 = 186,481.69 : x
  2. Step 2: Convert to fraction form
    84,835.13/186,481.69 = 186,481.69/x
  3. Step 3: Cross multiply
    84,835.13x = 186,481.69 × 186,481.69
  4. Step 4: Simplify right side
    84,835.13x = 34,775,419,772.85
  5. Step 5: Solve for x
    x = 34,775,419,772.85/84,835.13
  6. Step 6: Final answer
    x = 409,917.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.