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Finding the Third Proportional to 90,567 and 199,062

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Solution

The third proportional to 90,567 and 199,062 is: 437,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,567 : 199,062 = 199,062 : x
  2. Step 2: Convert to fraction form
    90,567/199,062 = 199,062/x
  3. Step 3: Cross multiply
    90,567x = 199,062 × 199,062
  4. Step 4: Simplify right side
    90,567x = 39,625,679,844
  5. Step 5: Solve for x
    x = 39,625,679,844/90,567
  6. Step 6: Final answer
    x = 437,528.90

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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.