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Finding the Third Proportional to 46.99 and 100.91

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Solution

The third proportional to 46.99 and 100.91 is: 216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.99 : 100.91 = 100.91 : x
  2. Step 2: Convert to fraction form
    46.99/100.91 = 100.91/x
  3. Step 3: Cross multiply
    46.99x = 100.91 × 100.91
  4. Step 4: Simplify right side
    46.99x = 10,183.60
  5. Step 5: Solve for x
    x = 10,183.60/46.99
  6. Step 6: Final answer
    x = 216.74

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