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Finding the Third Proportional to 107,193.38 and 157,578.75

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Solution

The third proportional to 107,193.38 and 157,578.75 is: 231,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,193.38 : 157,578.75 = 157,578.75 : x
  2. Step 2: Convert to fraction form
    107,193.38/157,578.75 = 157,578.75/x
  3. Step 3: Cross multiply
    107,193.38x = 157,578.75 × 157,578.75
  4. Step 4: Simplify right side
    107,193.38x = 24,831,062,451.56
  5. Step 5: Solve for x
    x = 24,831,062,451.56/107,193.38
  6. Step 6: Final answer
    x = 231,647.36

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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.