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Finding the Third Proportional to 43,463.81 and 95,231.81

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Solution

The third proportional to 43,463.81 and 95,231.81 is: 208,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,463.81 : 95,231.81 = 95,231.81 : x
  2. Step 2: Convert to fraction form
    43,463.81/95,231.81 = 95,231.81/x
  3. Step 3: Cross multiply
    43,463.81x = 95,231.81 × 95,231.81
  4. Step 4: Simplify right side
    43,463.81x = 9,069,098,112.04
  5. Step 5: Solve for x
    x = 9,069,098,112.04/43,463.81
  6. Step 6: Final answer
    x = 208,658.60

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Why These Related Problems?

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