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Finding the Third Proportional to 90,947.25 and 199,771.88

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Solution

The third proportional to 90,947.25 and 199,771.88 is: 438,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,947.25 : 199,771.88 = 199,771.88 : x
  2. Step 2: Convert to fraction form
    90,947.25/199,771.88 = 199,771.88/x
  3. Step 3: Cross multiply
    90,947.25x = 199,771.88 × 199,771.88
  4. Step 4: Simplify right side
    90,947.25x = 39,908,802,041.02
  5. Step 5: Solve for x
    x = 39,908,802,041.02/90,947.25
  6. Step 6: Final answer
    x = 438,812.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.