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Finding the Third Proportional to 104,734.27 and 226,069.73

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Solution

The third proportional to 104,734.27 and 226,069.73 is: 487,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,734.27 : 226,069.73 = 226,069.73 : x
  2. Step 2: Convert to fraction form
    104,734.27/226,069.73 = 226,069.73/x
  3. Step 3: Cross multiply
    104,734.27x = 226,069.73 × 226,069.73
  4. Step 4: Simplify right side
    104,734.27x = 51,107,524,800.38
  5. Step 5: Solve for x
    x = 51,107,524,800.38/104,734.27
  6. Step 6: Final answer
    x = 487,973.30

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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.