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Finding the Third Proportional to 85,831.92 and 186,440.68

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Solution

The third proportional to 85,831.92 and 186,440.68 is: 404,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,831.92 : 186,440.68 = 186,440.68 : x
  2. Step 2: Convert to fraction form
    85,831.92/186,440.68 = 186,440.68/x
  3. Step 3: Cross multiply
    85,831.92x = 186,440.68 × 186,440.68
  4. Step 4: Simplify right side
    85,831.92x = 34,760,127,952.69
  5. Step 5: Solve for x
    x = 34,760,127,952.69/85,831.92
  6. Step 6: Final answer
    x = 404,979.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.