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Finding the Third Proportional to 99.44 and 200.38

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Solution

The third proportional to 99.44 and 200.38 is: 403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.44 : 200.38 = 200.38 : x
  2. Step 2: Convert to fraction form
    99.44/200.38 = 200.38/x
  3. Step 3: Cross multiply
    99.44x = 200.38 × 200.38
  4. Step 4: Simplify right side
    99.44x = 40,150.14
  5. Step 5: Solve for x
    x = 40,150.14/99.44
  6. Step 6: Final answer
    x = 403.77

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.