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Finding the Third Proportional to 90.94 and 200.38

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Solution

The third proportional to 90.94 and 200.38 is: 441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.94 : 200.38 = 200.38 : x
  2. Step 2: Convert to fraction form
    90.94/200.38 = 200.38/x
  3. Step 3: Cross multiply
    90.94x = 200.38 × 200.38
  4. Step 4: Simplify right side
    90.94x = 40,150.14
  5. Step 5: Solve for x
    x = 40,150.14/90.94
  6. Step 6: Final answer
    x = 441.51

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