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Finding the Third Proportional to 49,520.06 and 106,740.19

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Solution

The third proportional to 49,520.06 and 106,740.19 is: 230,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,520.06 : 106,740.19 = 106,740.19 : x
  2. Step 2: Convert to fraction form
    49,520.06/106,740.19 = 106,740.19/x
  3. Step 3: Cross multiply
    49,520.06x = 106,740.19 × 106,740.19
  4. Step 4: Simplify right side
    49,520.06x = 11,393,467,627.54
  5. Step 5: Solve for x
    x = 11,393,467,627.54/49,520.06
  6. Step 6: Final answer
    x = 230,077.81

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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.