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Finding the Third Proportional to 47,351.25 and 104,081.63

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Solution

The third proportional to 47,351.25 and 104,081.63 is: 228,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,351.25 : 104,081.63 = 104,081.63 : x
  2. Step 2: Convert to fraction form
    47,351.25/104,081.63 = 104,081.63/x
  3. Step 3: Cross multiply
    47,351.25x = 104,081.63 × 104,081.63
  4. Step 4: Simplify right side
    47,351.25x = 10,832,984,662.64
  5. Step 5: Solve for x
    x = 10,832,984,662.64/47,351.25
  6. Step 6: Final answer
    x = 228,779.28

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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.