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Finding the Third Proportional to 118,108.13 and 159,119.44

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Solution

The third proportional to 118,108.13 and 159,119.44 is: 214,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,108.13 : 159,119.44 = 159,119.44 : x
  2. Step 2: Convert to fraction form
    118,108.13/159,119.44 = 159,119.44/x
  3. Step 3: Cross multiply
    118,108.13x = 159,119.44 × 159,119.44
  4. Step 4: Simplify right side
    118,108.13x = 25,318,995,390.32
  5. Step 5: Solve for x
    x = 25,318,995,390.32/118,108.13
  6. Step 6: Final answer
    x = 214,371.33

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.