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Finding the Third Proportional to 199,793.81 and 441,635.63

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Solution

The third proportional to 199,793.81 and 441,635.63 is: 976,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,793.81 : 441,635.63 = 441,635.63 : x
  2. Step 2: Convert to fraction form
    199,793.81/441,635.63 = 441,635.63/x
  3. Step 3: Cross multiply
    199,793.81x = 441,635.63 × 441,635.63
  4. Step 4: Simplify right side
    199,793.81x = 195,042,025,269.14
  5. Step 5: Solve for x
    x = 195,042,025,269.14/199,793.81
  6. Step 6: Final answer
    x = 976,216.54

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.