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Finding the Third Proportional to 44,286.75 and 96,843.09

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Solution

The third proportional to 44,286.75 and 96,843.09 is: 211,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,286.75 : 96,843.09 = 96,843.09 : x
  2. Step 2: Convert to fraction form
    44,286.75/96,843.09 = 96,843.09/x
  3. Step 3: Cross multiply
    44,286.75x = 96,843.09 × 96,843.09
  4. Step 4: Simplify right side
    44,286.75x = 9,378,584,807.07
  5. Step 5: Solve for x
    x = 9,378,584,807.07/44,286.75
  6. Step 6: Final answer
    x = 211,769.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.