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Finding the Third Proportional to 90,645.75 and 195,704.25

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Solution

The third proportional to 90,645.75 and 195,704.25 is: 422,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,645.75 : 195,704.25 = 195,704.25 : x
  2. Step 2: Convert to fraction form
    90,645.75/195,704.25 = 195,704.25/x
  3. Step 3: Cross multiply
    90,645.75x = 195,704.25 × 195,704.25
  4. Step 4: Simplify right side
    90,645.75x = 38,300,153,468.06
  5. Step 5: Solve for x
    x = 38,300,153,468.06/90,645.75
  6. Step 6: Final answer
    x = 422,525.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.