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Finding the Third Proportional to 104,967 and 226,510.50

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Solution

The third proportional to 104,967 and 226,510.50 is: 488,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,967 : 226,510.50 = 226,510.50 : x
  2. Step 2: Convert to fraction form
    104,967/226,510.50 = 226,510.50/x
  3. Step 3: Cross multiply
    104,967x = 226,510.50 × 226,510.50
  4. Step 4: Simplify right side
    104,967x = 51,307,006,610.25
  5. Step 5: Solve for x
    x = 51,307,006,610.25/104,967
  6. Step 6: Final answer
    x = 488,791.78

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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.