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Finding the Third Proportional to 102.87 and 222.89

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Solution

The third proportional to 102.87 and 222.89 is: 482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.87 : 222.89 = 222.89 : x
  2. Step 2: Convert to fraction form
    102.87/222.89 = 222.89/x
  3. Step 3: Cross multiply
    102.87x = 222.89 × 222.89
  4. Step 4: Simplify right side
    102.87x = 49,680.23
  5. Step 5: Solve for x
    x = 49,680.23/102.87
  6. Step 6: Final answer
    x = 482.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.