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Finding the Third Proportional to 98.81 and 147.67

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Solution

The third proportional to 98.81 and 147.67 is: 220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.81 : 147.67 = 147.67 : x
  2. Step 2: Convert to fraction form
    98.81/147.67 = 147.67/x
  3. Step 3: Cross multiply
    98.81x = 147.67 × 147.67
  4. Step 4: Simplify right side
    98.81x = 21,806.26
  5. Step 5: Solve for x
    x = 21,806.26/98.81
  6. Step 6: Final answer
    x = 220.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.