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Finding the Third Proportional to 46,163.25 and 108,913.50

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Solution

The third proportional to 46,163.25 and 108,913.50 is: 256,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,163.25 : 108,913.50 = 108,913.50 : x
  2. Step 2: Convert to fraction form
    46,163.25/108,913.50 = 108,913.50/x
  3. Step 3: Cross multiply
    46,163.25x = 108,913.50 × 108,913.50
  4. Step 4: Simplify right side
    46,163.25x = 11,862,150,482.25
  5. Step 5: Solve for x
    x = 11,862,150,482.25/46,163.25
  6. Step 6: Final answer
    x = 256,960.90

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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.