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Finding the Third Proportional to 51,781.78 and 108,791.86

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Solution

The third proportional to 51,781.78 and 108,791.86 is: 228,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,781.78 : 108,791.86 = 108,791.86 : x
  2. Step 2: Convert to fraction form
    51,781.78/108,791.86 = 108,791.86/x
  3. Step 3: Cross multiply
    51,781.78x = 108,791.86 × 108,791.86
  4. Step 4: Simplify right side
    51,781.78x = 11,835,668,666.27
  5. Step 5: Solve for x
    x = 11,835,668,666.27/51,781.78
  6. Step 6: Final answer
    x = 228,568.20

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.