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Finding the Third Proportional to 45.22 and 88.16

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Solution

The third proportional to 45.22 and 88.16 is: 171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.22 : 88.16 = 88.16 : x
  2. Step 2: Convert to fraction form
    45.22/88.16 = 88.16/x
  3. Step 3: Cross multiply
    45.22x = 88.16 × 88.16
  4. Step 4: Simplify right side
    45.22x = 7,771.52
  5. Step 5: Solve for x
    x = 7,771.52/45.22
  6. Step 6: Final answer
    x = 171.87

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.