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Finding the Third Proportional to 49,948.31 and 106,253.44

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Solution

The third proportional to 49,948.31 and 106,253.44 is: 226,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,948.31 : 106,253.44 = 106,253.44 : x
  2. Step 2: Convert to fraction form
    49,948.31/106,253.44 = 106,253.44/x
  3. Step 3: Cross multiply
    49,948.31x = 106,253.44 × 106,253.44
  4. Step 4: Simplify right side
    49,948.31x = 11,289,792,980.57
  5. Step 5: Solve for x
    x = 11,289,792,980.57/49,948.31
  6. Step 6: Final answer
    x = 226,029.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.