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Finding the Third Proportional to 123,633.84 and 192,831.89

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Solution

The third proportional to 123,633.84 and 192,831.89 is: 300,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,633.84 : 192,831.89 = 192,831.89 : x
  2. Step 2: Convert to fraction form
    123,633.84/192,831.89 = 192,831.89/x
  3. Step 3: Cross multiply
    123,633.84x = 192,831.89 × 192,831.89
  4. Step 4: Simplify right side
    123,633.84x = 37,184,138,042.01
  5. Step 5: Solve for x
    x = 37,184,138,042.01/123,633.84
  6. Step 6: Final answer
    x = 300,760.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.