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Finding the Third Proportional to 46,163.75 and 108,914.75

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Solution

The third proportional to 46,163.75 and 108,914.75 is: 256,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,163.75 : 108,914.75 = 108,914.75 : x
  2. Step 2: Convert to fraction form
    46,163.75/108,914.75 = 108,914.75/x
  3. Step 3: Cross multiply
    46,163.75x = 108,914.75 × 108,914.75
  4. Step 4: Simplify right side
    46,163.75x = 11,862,422,767.56
  5. Step 5: Solve for x
    x = 11,862,422,767.56/46,163.75
  6. Step 6: Final answer
    x = 256,964.02

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.