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Finding the Third Proportional to 43,831.13 and 102,287.81

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Solution

The third proportional to 43,831.13 and 102,287.81 is: 238,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,831.13 : 102,287.81 = 102,287.81 : x
  2. Step 2: Convert to fraction form
    43,831.13/102,287.81 = 102,287.81/x
  3. Step 3: Cross multiply
    43,831.13x = 102,287.81 × 102,287.81
  4. Step 4: Simplify right side
    43,831.13x = 10,462,796,586.04
  5. Step 5: Solve for x
    x = 10,462,796,586.04/43,831.13
  6. Step 6: Final answer
    x = 238,707.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.