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Finding the Third Proportional to 86,665.13 and 186,265.13

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Solution

The third proportional to 86,665.13 and 186,265.13 is: 400,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,665.13 : 186,265.13 = 186,265.13 : x
  2. Step 2: Convert to fraction form
    86,665.13/186,265.13 = 186,265.13/x
  3. Step 3: Cross multiply
    86,665.13x = 186,265.13 × 186,265.13
  4. Step 4: Simplify right side
    86,665.13x = 34,694,696,791.27
  5. Step 5: Solve for x
    x = 34,694,696,791.27/86,665.13
  6. Step 6: Final answer
    x = 400,330.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.