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Finding the Third Proportional to 100,599.75 and 213,192.75

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Solution

The third proportional to 100,599.75 and 213,192.75 is: 451,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,599.75 : 213,192.75 = 213,192.75 : x
  2. Step 2: Convert to fraction form
    100,599.75/213,192.75 = 213,192.75/x
  3. Step 3: Cross multiply
    100,599.75x = 213,192.75 × 213,192.75
  4. Step 4: Simplify right side
    100,599.75x = 45,451,148,652.56
  5. Step 5: Solve for x
    x = 45,451,148,652.56/100,599.75
  6. Step 6: Final answer
    x = 451,801.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.