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Finding the Third Proportional to 90,823 and 197,993

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Solution

The third proportional to 90,823 and 197,993 is: 431,622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,823 : 197,993 = 197,993 : x
  2. Step 2: Convert to fraction form
    90,823/197,993 = 197,993/x
  3. Step 3: Cross multiply
    90,823x = 197,993 × 197,993
  4. Step 4: Simplify right side
    90,823x = 39,201,228,049
  5. Step 5: Solve for x
    x = 39,201,228,049/90,823
  6. Step 6: Final answer
    x = 431,622.25

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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.