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Finding the Third Proportional to 49,391.25 and 106,285.50

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Solution

The third proportional to 49,391.25 and 106,285.50 is: 228,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,391.25 : 106,285.50 = 106,285.50 : x
  2. Step 2: Convert to fraction form
    49,391.25/106,285.50 = 106,285.50/x
  3. Step 3: Cross multiply
    49,391.25x = 106,285.50 × 106,285.50
  4. Step 4: Simplify right side
    49,391.25x = 11,296,607,510.25
  5. Step 5: Solve for x
    x = 11,296,607,510.25/49,391.25
  6. Step 6: Final answer
    x = 228,716.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.