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Finding the Third Proportional to 49,472.44 and 116,665.31

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Solution

The third proportional to 49,472.44 and 116,665.31 is: 275,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,472.44 : 116,665.31 = 116,665.31 : x
  2. Step 2: Convert to fraction form
    49,472.44/116,665.31 = 116,665.31/x
  3. Step 3: Cross multiply
    49,472.44x = 116,665.31 × 116,665.31
  4. Step 4: Simplify right side
    49,472.44x = 13,610,795,140.72
  5. Step 5: Solve for x
    x = 13,610,795,140.72/49,472.44
  6. Step 6: Final answer
    x = 275,118.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.