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Finding the Third Proportional to 90,666 and 197,463

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Solution

The third proportional to 90,666 and 197,463 is: 430,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,666 : 197,463 = 197,463 : x
  2. Step 2: Convert to fraction form
    90,666/197,463 = 197,463/x
  3. Step 3: Cross multiply
    90,666x = 197,463 × 197,463
  4. Step 4: Simplify right side
    90,666x = 38,991,636,369
  5. Step 5: Solve for x
    x = 38,991,636,369/90,666
  6. Step 6: Final answer
    x = 430,057.98

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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.