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Finding the Third Proportional to 99,180 and 151,104

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Solution

The third proportional to 99,180 and 151,104 is: 230,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,180 : 151,104 = 151,104 : x
  2. Step 2: Convert to fraction form
    99,180/151,104 = 151,104/x
  3. Step 3: Cross multiply
    99,180x = 151,104 × 151,104
  4. Step 4: Simplify right side
    99,180x = 22,832,418,816
  5. Step 5: Solve for x
    x = 22,832,418,816/99,180
  6. Step 6: Final answer
    x = 230,211.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.