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Finding the Third Proportional to 89.08 and 191.45

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Solution

The third proportional to 89.08 and 191.45 is: 411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.08 : 191.45 = 191.45 : x
  2. Step 2: Convert to fraction form
    89.08/191.45 = 191.45/x
  3. Step 3: Cross multiply
    89.08x = 191.45 × 191.45
  4. Step 4: Simplify right side
    89.08x = 36,654.30
  5. Step 5: Solve for x
    x = 36,654.30/89.08
  6. Step 6: Final answer
    x = 411.48

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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.