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Finding the Third Proportional to 208,118.11 and 445,760.72

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Solution

The third proportional to 208,118.11 and 445,760.72 is: 954,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,118.11 : 445,760.72 = 445,760.72 : x
  2. Step 2: Convert to fraction form
    208,118.11/445,760.72 = 445,760.72/x
  3. Step 3: Cross multiply
    208,118.11x = 445,760.72 × 445,760.72
  4. Step 4: Simplify right side
    208,118.11x = 198,702,618,380.52
  5. Step 5: Solve for x
    x = 198,702,618,380.52/208,118.11
  6. Step 6: Final answer
    x = 954,758.91

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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.