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Finding the Third Proportional to 49,651.88 and 106,409.25

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Solution

The third proportional to 49,651.88 and 106,409.25 is: 228,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,651.88 : 106,409.25 = 106,409.25 : x
  2. Step 2: Convert to fraction form
    49,651.88/106,409.25 = 106,409.25/x
  3. Step 3: Cross multiply
    49,651.88x = 106,409.25 × 106,409.25
  4. Step 4: Simplify right side
    49,651.88x = 11,322,928,485.56
  5. Step 5: Solve for x
    x = 11,322,928,485.56/49,651.88
  6. Step 6: Final answer
    x = 228,046.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.