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Finding the Third Proportional to 44.91 and 98.06

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Solution

The third proportional to 44.91 and 98.06 is: 214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.91 : 98.06 = 98.06 : x
  2. Step 2: Convert to fraction form
    44.91/98.06 = 98.06/x
  3. Step 3: Cross multiply
    44.91x = 98.06 × 98.06
  4. Step 4: Simplify right side
    44.91x = 9,616.25
  5. Step 5: Solve for x
    x = 9,616.25/44.91
  6. Step 6: Final answer
    x = 214.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.