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Finding the Third Proportional to 46.13 and 100.88

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Solution

The third proportional to 46.13 and 100.88 is: 220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.13 : 100.88 = 100.88 : x
  2. Step 2: Convert to fraction form
    46.13/100.88 = 100.88/x
  3. Step 3: Cross multiply
    46.13x = 100.88 × 100.88
  4. Step 4: Simplify right side
    46.13x = 10,175.77
  5. Step 5: Solve for x
    x = 10,175.77/46.13
  6. Step 6: Final answer
    x = 220.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.