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Finding the Third Proportional to 90,453 and 196,467

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Solution

The third proportional to 90,453 and 196,467 is: 426,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,453 : 196,467 = 196,467 : x
  2. Step 2: Convert to fraction form
    90,453/196,467 = 196,467/x
  3. Step 3: Cross multiply
    90,453x = 196,467 × 196,467
  4. Step 4: Simplify right side
    90,453x = 38,599,282,089
  5. Step 5: Solve for x
    x = 38,599,282,089/90,453
  6. Step 6: Final answer
    x = 426,733.02

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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.