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Finding the Third Proportional to 39,843.38 and 86,696.25

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Solution

The third proportional to 39,843.38 and 86,696.25 is: 188,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,843.38 : 86,696.25 = 86,696.25 : x
  2. Step 2: Convert to fraction form
    39,843.38/86,696.25 = 86,696.25/x
  3. Step 3: Cross multiply
    39,843.38x = 86,696.25 × 86,696.25
  4. Step 4: Simplify right side
    39,843.38x = 7,516,239,764.06
  5. Step 5: Solve for x
    x = 7,516,239,764.06/39,843.38
  6. Step 6: Final answer
    x = 188,644.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.