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Finding the Third Proportional to 49,096.13 and 106,027.31

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Solution

The third proportional to 49,096.13 and 106,027.31 is: 228,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,096.13 : 106,027.31 = 106,027.31 : x
  2. Step 2: Convert to fraction form
    49,096.13/106,027.31 = 106,027.31/x
  3. Step 3: Cross multiply
    49,096.13x = 106,027.31 × 106,027.31
  4. Step 4: Simplify right side
    49,096.13x = 11,241,790,995.97
  5. Step 5: Solve for x
    x = 11,241,790,995.97/49,096.13
  6. Step 6: Final answer
    x = 228,975.12

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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.