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Finding the Third Proportional to 89.44 and 190.69

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Solution

The third proportional to 89.44 and 190.69 is: 406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.44 : 190.69 = 190.69 : x
  2. Step 2: Convert to fraction form
    89.44/190.69 = 190.69/x
  3. Step 3: Cross multiply
    89.44x = 190.69 × 190.69
  4. Step 4: Simplify right side
    89.44x = 36,361.72
  5. Step 5: Solve for x
    x = 36,361.72/89.44
  6. Step 6: Final answer
    x = 406.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.