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Finding the Third Proportional to 43,831.13 and 94,177.69

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Solution

The third proportional to 43,831.13 and 94,177.69 is: 202,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,831.13 : 94,177.69 = 94,177.69 : x
  2. Step 2: Convert to fraction form
    43,831.13/94,177.69 = 94,177.69/x
  3. Step 3: Cross multiply
    43,831.13x = 94,177.69 × 94,177.69
  4. Step 4: Simplify right side
    43,831.13x = 8,869,436,822.85
  5. Step 5: Solve for x
    x = 8,869,436,822.85/43,831.13
  6. Step 6: Final answer
    x = 202,354.76

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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.