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Finding the Third Proportional to 47,629.69 and 104,977.69

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Solution

The third proportional to 47,629.69 and 104,977.69 is: 231,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,629.69 : 104,977.69 = 104,977.69 : x
  2. Step 2: Convert to fraction form
    47,629.69/104,977.69 = 104,977.69/x
  3. Step 3: Cross multiply
    47,629.69x = 104,977.69 × 104,977.69
  4. Step 4: Simplify right side
    47,629.69x = 11,020,314,872.85
  5. Step 5: Solve for x
    x = 11,020,314,872.85/47,629.69
  6. Step 6: Final answer
    x = 231,374.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.