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Finding the Third Proportional to 44.56 and 97.09

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Solution

The third proportional to 44.56 and 97.09 is: 211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.56 : 97.09 = 97.09 : x
  2. Step 2: Convert to fraction form
    44.56/97.09 = 97.09/x
  3. Step 3: Cross multiply
    44.56x = 97.09 × 97.09
  4. Step 4: Simplify right side
    44.56x = 9,427.20
  5. Step 5: Solve for x
    x = 9,427.20/44.56
  6. Step 6: Final answer
    x = 211.55

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Why These Related Problems?

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