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Finding the Third Proportional to 53,211.94 and 104,950.69

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Solution

The third proportional to 53,211.94 and 104,950.69 is: 206,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,211.94 : 104,950.69 = 104,950.69 : x
  2. Step 2: Convert to fraction form
    53,211.94/104,950.69 = 104,950.69/x
  3. Step 3: Cross multiply
    53,211.94x = 104,950.69 × 104,950.69
  4. Step 4: Simplify right side
    53,211.94x = 11,014,646,806.72
  5. Step 5: Solve for x
    x = 11,014,646,806.72/53,211.94
  6. Step 6: Final answer
    x = 206,995.79

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.