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Finding the Third Proportional to 98.88 and 152.91

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Solution

The third proportional to 98.88 and 152.91 is: 236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.88 : 152.91 = 152.91 : x
  2. Step 2: Convert to fraction form
    98.88/152.91 = 152.91/x
  3. Step 3: Cross multiply
    98.88x = 152.91 × 152.91
  4. Step 4: Simplify right side
    98.88x = 23,380.32
  5. Step 5: Solve for x
    x = 23,380.32/98.88
  6. Step 6: Final answer
    x = 236.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.