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Finding the Third Proportional to 99,597.50 and 150,229.50

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Solution

The third proportional to 99,597.50 and 150,229.50 is: 226,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,597.50 : 150,229.50 = 150,229.50 : x
  2. Step 2: Convert to fraction form
    99,597.50/150,229.50 = 150,229.50/x
  3. Step 3: Cross multiply
    99,597.50x = 150,229.50 × 150,229.50
  4. Step 4: Simplify right side
    99,597.50x = 22,568,902,670.25
  5. Step 5: Solve for x
    x = 22,568,902,670.25/99,597.50
  6. Step 6: Final answer
    x = 226,601.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.