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Finding the Third Proportional to 89.06 and 191.44

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Solution

The third proportional to 89.06 and 191.44 is: 411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 191.44 = 191.44 : x
  2. Step 2: Convert to fraction form
    89.06/191.44 = 191.44/x
  3. Step 3: Cross multiply
    89.06x = 191.44 × 191.44
  4. Step 4: Simplify right side
    89.06x = 36,648.32
  5. Step 5: Solve for x
    x = 36,648.32/89.06
  6. Step 6: Final answer
    x = 411.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.