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Finding the Third Proportional to 43,986.38 and 95,914.13

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Solution

The third proportional to 43,986.38 and 95,914.13 is: 209,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,986.38 : 95,914.13 = 95,914.13 : x
  2. Step 2: Convert to fraction form
    43,986.38/95,914.13 = 95,914.13/x
  3. Step 3: Cross multiply
    43,986.38x = 95,914.13 × 95,914.13
  4. Step 4: Simplify right side
    43,986.38x = 9,199,519,374.52
  5. Step 5: Solve for x
    x = 9,199,519,374.52/43,986.38
  6. Step 6: Final answer
    x = 209,144.75

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Why These Related Problems?

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