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Finding the Third Proportional to 49,108.78 and 104,657.06

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Solution

The third proportional to 49,108.78 and 104,657.06 is: 223,037.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,108.78 : 104,657.06 = 104,657.06 : x
  2. Step 2: Convert to fraction form
    49,108.78/104,657.06 = 104,657.06/x
  3. Step 3: Cross multiply
    49,108.78x = 104,657.06 × 104,657.06
  4. Step 4: Simplify right side
    49,108.78x = 10,953,100,731.13
  5. Step 5: Solve for x
    x = 10,953,100,731.13/49,108.78
  6. Step 6: Final answer
    x = 223,037.52

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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.