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Finding the Third Proportional to 99,538 and 150,888

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Solution

The third proportional to 99,538 and 150,888 is: 228,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,538 : 150,888 = 150,888 : x
  2. Step 2: Convert to fraction form
    99,538/150,888 = 150,888/x
  3. Step 3: Cross multiply
    99,538x = 150,888 × 150,888
  4. Step 4: Simplify right side
    99,538x = 22,767,188,544
  5. Step 5: Solve for x
    x = 22,767,188,544/99,538
  6. Step 6: Final answer
    x = 228,728.61

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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.