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Finding the Third Proportional to 100,186.50 and 149,965.75

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Solution

The third proportional to 100,186.50 and 149,965.75 is: 224,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,186.50 : 149,965.75 = 149,965.75 : x
  2. Step 2: Convert to fraction form
    100,186.50/149,965.75 = 149,965.75/x
  3. Step 3: Cross multiply
    100,186.50x = 149,965.75 × 149,965.75
  4. Step 4: Simplify right side
    100,186.50x = 22,489,726,173.06
  5. Step 5: Solve for x
    x = 22,489,726,173.06/100,186.50
  6. Step 6: Final answer
    x = 224,478.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.