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Finding the Third Proportional to 104,779 and 226,163

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Solution

The third proportional to 104,779 and 226,163 is: 488,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,779 : 226,163 = 226,163 : x
  2. Step 2: Convert to fraction form
    104,779/226,163 = 226,163/x
  3. Step 3: Cross multiply
    104,779x = 226,163 × 226,163
  4. Step 4: Simplify right side
    104,779x = 51,149,702,569
  5. Step 5: Solve for x
    x = 51,149,702,569/104,779
  6. Step 6: Final answer
    x = 488,167.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.