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Finding the Third Proportional to 43,845.75 and 92,909.25

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Solution

The third proportional to 43,845.75 and 92,909.25 is: 196,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,845.75 : 92,909.25 = 92,909.25 : x
  2. Step 2: Convert to fraction form
    43,845.75/92,909.25 = 92,909.25/x
  3. Step 3: Cross multiply
    43,845.75x = 92,909.25 × 92,909.25
  4. Step 4: Simplify right side
    43,845.75x = 8,632,128,735.56
  5. Step 5: Solve for x
    x = 8,632,128,735.56/43,845.75
  6. Step 6: Final answer
    x = 196,874.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.