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Finding the Third Proportional to 43,831.76 and 95,864.77

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Solution

The third proportional to 43,831.76 and 95,864.77 is: 209,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,831.76 : 95,864.77 = 95,864.77 : x
  2. Step 2: Convert to fraction form
    43,831.76/95,864.77 = 95,864.77/x
  3. Step 3: Cross multiply
    43,831.76x = 95,864.77 × 95,864.77
  4. Step 4: Simplify right side
    43,831.76x = 9,190,053,288.34
  5. Step 5: Solve for x
    x = 9,190,053,288.34/43,831.76
  6. Step 6: Final answer
    x = 209,666.55

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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.