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Finding the Third Proportional to 89.33 and 190.66

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Solution

The third proportional to 89.33 and 190.66 is: 406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.33 : 190.66 = 190.66 : x
  2. Step 2: Convert to fraction form
    89.33/190.66 = 190.66/x
  3. Step 3: Cross multiply
    89.33x = 190.66 × 190.66
  4. Step 4: Simplify right side
    89.33x = 36,349.81
  5. Step 5: Solve for x
    x = 36,349.81/89.33
  6. Step 6: Final answer
    x = 406.92

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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.