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Finding the Third Proportional to 44.19 and 95.98

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Solution

The third proportional to 44.19 and 95.98 is: 208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.19 : 95.98 = 95.98 : x
  2. Step 2: Convert to fraction form
    44.19/95.98 = 95.98/x
  3. Step 3: Cross multiply
    44.19x = 95.98 × 95.98
  4. Step 4: Simplify right side
    44.19x = 9,211.50
  5. Step 5: Solve for x
    x = 9,211.50/44.19
  6. Step 6: Final answer
    x = 208.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.