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Finding the Third Proportional to 98.02 and 150.05

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Solution

The third proportional to 98.02 and 150.05 is: 229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.02 : 150.05 = 150.05 : x
  2. Step 2: Convert to fraction form
    98.02/150.05 = 150.05/x
  3. Step 3: Cross multiply
    98.02x = 150.05 × 150.05
  4. Step 4: Simplify right side
    98.02x = 22,514.06
  5. Step 5: Solve for x
    x = 22,514.06/98.02
  6. Step 6: Final answer
    x = 229.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.