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Finding the Third Proportional to 46,144.13 and 109,163.25

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Solution

The third proportional to 46,144.13 and 109,163.25 is: 258,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,144.13 : 109,163.25 = 109,163.25 : x
  2. Step 2: Convert to fraction form
    46,144.13/109,163.25 = 109,163.25/x
  3. Step 3: Cross multiply
    46,144.13x = 109,163.25 × 109,163.25
  4. Step 4: Simplify right side
    46,144.13x = 11,916,615,150.56
  5. Step 5: Solve for x
    x = 11,916,615,150.56/46,144.13
  6. Step 6: Final answer
    x = 258,247.72

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.