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Finding the Third Proportional to 45,375.75 and 95,449.50

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Solution

The third proportional to 45,375.75 and 95,449.50 is: 200,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,375.75 : 95,449.50 = 95,449.50 : x
  2. Step 2: Convert to fraction form
    45,375.75/95,449.50 = 95,449.50/x
  3. Step 3: Cross multiply
    45,375.75x = 95,449.50 × 95,449.50
  4. Step 4: Simplify right side
    45,375.75x = 9,110,607,050.25
  5. Step 5: Solve for x
    x = 9,110,607,050.25/45,375.75
  6. Step 6: Final answer
    x = 200,781.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.