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Finding the Third Proportional to 41.65 and 88.99

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Solution

The third proportional to 41.65 and 88.99 is: 190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.65 : 88.99 = 88.99 : x
  2. Step 2: Convert to fraction form
    41.65/88.99 = 88.99/x
  3. Step 3: Cross multiply
    41.65x = 88.99 × 88.99
  4. Step 4: Simplify right side
    41.65x = 7,919.09
  5. Step 5: Solve for x
    x = 7,919.09/41.65
  6. Step 6: Final answer
    x = 190.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.