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Finding the Third Proportional to 89,212.75 and 196,168.75

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Solution

The third proportional to 89,212.75 and 196,168.75 is: 431,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,212.75 : 196,168.75 = 196,168.75 : x
  2. Step 2: Convert to fraction form
    89,212.75/196,168.75 = 196,168.75/x
  3. Step 3: Cross multiply
    89,212.75x = 196,168.75 × 196,168.75
  4. Step 4: Simplify right side
    89,212.75x = 38,482,178,476.56
  5. Step 5: Solve for x
    x = 38,482,178,476.56/89,212.75
  6. Step 6: Final answer
    x = 431,352.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.