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Finding the Third Proportional to 99,911.25 and 213,993

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Solution

The third proportional to 99,911.25 and 213,993 is: 458,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,911.25 : 213,993 = 213,993 : x
  2. Step 2: Convert to fraction form
    99,911.25/213,993 = 213,993/x
  3. Step 3: Cross multiply
    99,911.25x = 213,993 × 213,993
  4. Step 4: Simplify right side
    99,911.25x = 45,793,004,049
  5. Step 5: Solve for x
    x = 45,793,004,049/99,911.25
  6. Step 6: Final answer
    x = 458,336.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.