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Finding the Third Proportional to 98,494.50 and 150,601

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Solution

The third proportional to 98,494.50 and 150,601 is: 230,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,494.50 : 150,601 = 150,601 : x
  2. Step 2: Convert to fraction form
    98,494.50/150,601 = 150,601/x
  3. Step 3: Cross multiply
    98,494.50x = 150,601 × 150,601
  4. Step 4: Simplify right side
    98,494.50x = 22,680,661,201
  5. Step 5: Solve for x
    x = 22,680,661,201/98,494.50
  6. Step 6: Final answer
    x = 230,273.38

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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.