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Finding the Third Proportional to 107,168.38 and 157,791.80

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Solution

The third proportional to 107,168.38 and 157,791.80 is: 232,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,168.38 : 157,791.80 = 157,791.80 : x
  2. Step 2: Convert to fraction form
    107,168.38/157,791.80 = 157,791.80/x
  3. Step 3: Cross multiply
    107,168.38x = 157,791.80 × 157,791.80
  4. Step 4: Simplify right side
    107,168.38x = 24,898,251,161.04
  5. Step 5: Solve for x
    x = 24,898,251,161.04/107,168.38
  6. Step 6: Final answer
    x = 232,328.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.