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Finding the Third Proportional to 44.41 and 97.06

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Solution

The third proportional to 44.41 and 97.06 is: 212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.41 : 97.06 = 97.06 : x
  2. Step 2: Convert to fraction form
    44.41/97.06 = 97.06/x
  3. Step 3: Cross multiply
    44.41x = 97.06 × 97.06
  4. Step 4: Simplify right side
    44.41x = 9,421.13
  5. Step 5: Solve for x
    x = 9,421.13/44.41
  6. Step 6: Final answer
    x = 212.16

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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.