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Finding the Third Proportional to 109,190.25 and 167,241.38

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Solution

The third proportional to 109,190.25 and 167,241.38 is: 256,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,190.25 : 167,241.38 = 167,241.38 : x
  2. Step 2: Convert to fraction form
    109,190.25/167,241.38 = 167,241.38/x
  3. Step 3: Cross multiply
    109,190.25x = 167,241.38 × 167,241.38
  4. Step 4: Simplify right side
    109,190.25x = 27,969,677,511.89
  5. Step 5: Solve for x
    x = 27,969,677,511.89/109,190.25
  6. Step 6: Final answer
    x = 256,155.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.