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Finding the Third Proportional to 99.70 and 154.02

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Solution

The third proportional to 99.70 and 154.02 is: 237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.70 : 154.02 = 154.02 : x
  2. Step 2: Convert to fraction form
    99.70/154.02 = 154.02/x
  3. Step 3: Cross multiply
    99.70x = 154.02 × 154.02
  4. Step 4: Simplify right side
    99.70x = 23,722.02
  5. Step 5: Solve for x
    x = 23,722.02/99.70
  6. Step 6: Final answer
    x = 237.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.