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Finding the Third Proportional to 78,022.13 and 167,894.44

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Solution

The third proportional to 78,022.13 and 167,894.44 is: 361,289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,022.13 : 167,894.44 = 167,894.44 : x
  2. Step 2: Convert to fraction form
    78,022.13/167,894.44 = 167,894.44/x
  3. Step 3: Cross multiply
    78,022.13x = 167,894.44 × 167,894.44
  4. Step 4: Simplify right side
    78,022.13x = 28,188,542,143.44
  5. Step 5: Solve for x
    x = 28,188,542,143.44/78,022.13
  6. Step 6: Final answer
    x = 361,289.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.