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Finding the Third Proportional to 90,938 and 197,427

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Solution

The third proportional to 90,938 and 197,427 is: 428,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,938 : 197,427 = 197,427 : x
  2. Step 2: Convert to fraction form
    90,938/197,427 = 197,427/x
  3. Step 3: Cross multiply
    90,938x = 197,427 × 197,427
  4. Step 4: Simplify right side
    90,938x = 38,977,420,329
  5. Step 5: Solve for x
    x = 38,977,420,329/90,938
  6. Step 6: Final answer
    x = 428,615.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.