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Finding the Third Proportional to 91,891.50 and 197,862.50

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Solution

The third proportional to 91,891.50 and 197,862.50 is: 426,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,891.50 : 197,862.50 = 197,862.50 : x
  2. Step 2: Convert to fraction form
    91,891.50/197,862.50 = 197,862.50/x
  3. Step 3: Cross multiply
    91,891.50x = 197,862.50 × 197,862.50
  4. Step 4: Simplify right side
    91,891.50x = 39,149,568,906.25
  5. Step 5: Solve for x
    x = 39,149,568,906.25/91,891.50
  6. Step 6: Final answer
    x = 426,041.24

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Why These Related Problems?

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