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Finding the Third Proportional to 90,751.50 and 195,385.50

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Solution

The third proportional to 90,751.50 and 195,385.50 is: 420,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,751.50 : 195,385.50 = 195,385.50 : x
  2. Step 2: Convert to fraction form
    90,751.50/195,385.50 = 195,385.50/x
  3. Step 3: Cross multiply
    90,751.50x = 195,385.50 × 195,385.50
  4. Step 4: Simplify right side
    90,751.50x = 38,175,493,610.25
  5. Step 5: Solve for x
    x = 38,175,493,610.25/90,751.50
  6. Step 6: Final answer
    x = 420,659.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.