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Finding the Third Proportional to 90,668 and 197,467

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Solution

The third proportional to 90,668 and 197,467 is: 430,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,668 : 197,467 = 197,467 : x
  2. Step 2: Convert to fraction form
    90,668/197,467 = 197,467/x
  3. Step 3: Cross multiply
    90,668x = 197,467 × 197,467
  4. Step 4: Simplify right side
    90,668x = 38,993,216,089
  5. Step 5: Solve for x
    x = 38,993,216,089/90,668
  6. Step 6: Final answer
    x = 430,065.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.