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Finding the Third Proportional to 81.88 and 200.19

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Solution

The third proportional to 81.88 and 200.19 is: 489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.88 : 200.19 = 200.19 : x
  2. Step 2: Convert to fraction form
    81.88/200.19 = 200.19/x
  3. Step 3: Cross multiply
    81.88x = 200.19 × 200.19
  4. Step 4: Simplify right side
    81.88x = 40,075.04
  5. Step 5: Solve for x
    x = 40,075.04/81.88
  6. Step 6: Final answer
    x = 489.47

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.