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Finding the Third Proportional to 84,550.50 and 196,591.50

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Solution

The third proportional to 84,550.50 and 196,591.50 is: 457,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,550.50 : 196,591.50 = 196,591.50 : x
  2. Step 2: Convert to fraction form
    84,550.50/196,591.50 = 196,591.50/x
  3. Step 3: Cross multiply
    84,550.50x = 196,591.50 × 196,591.50
  4. Step 4: Simplify right side
    84,550.50x = 38,648,217,872.25
  5. Step 5: Solve for x
    x = 38,648,217,872.25/84,550.50
  6. Step 6: Final answer
    x = 457,102.18

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.