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Finding the Third Proportional to 46,884.94 and 110,608.31

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Solution

The third proportional to 46,884.94 and 110,608.31 is: 260,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,884.94 : 110,608.31 = 110,608.31 : x
  2. Step 2: Convert to fraction form
    46,884.94/110,608.31 = 110,608.31/x
  3. Step 3: Cross multiply
    46,884.94x = 110,608.31 × 110,608.31
  4. Step 4: Simplify right side
    46,884.94x = 12,234,198,794.10
  5. Step 5: Solve for x
    x = 12,234,198,794.10/46,884.94
  6. Step 6: Final answer
    x = 260,940.92

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Why These Related Problems?

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