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Finding the Third Proportional to 47,764.69 and 104,710.22

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Solution

The third proportional to 47,764.69 and 104,710.22 is: 229,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764.69 : 104,710.22 = 104,710.22 : x
  2. Step 2: Convert to fraction form
    47,764.69/104,710.22 = 104,710.22/x
  3. Step 3: Cross multiply
    47,764.69x = 104,710.22 × 104,710.22
  4. Step 4: Simplify right side
    47,764.69x = 10,964,229,910.67
  5. Step 5: Solve for x
    x = 10,964,229,910.67/47,764.69
  6. Step 6: Final answer
    x = 229,546.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.