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Finding the Third Proportional to 43,469.75 and 92,680.75

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Solution

The third proportional to 43,469.75 and 92,680.75 is: 197,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,469.75 : 92,680.75 = 92,680.75 : x
  2. Step 2: Convert to fraction form
    43,469.75/92,680.75 = 92,680.75/x
  3. Step 3: Cross multiply
    43,469.75x = 92,680.75 × 92,680.75
  4. Step 4: Simplify right side
    43,469.75x = 8,589,721,420.56
  5. Step 5: Solve for x
    x = 8,589,721,420.56/43,469.75
  6. Step 6: Final answer
    x = 197,602.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.