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Finding the Third Proportional to 49,481,286.75 and 102,356,797.50

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Solution

The third proportional to 49,481,286.75 and 102,356,797.50 is: 211,734,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,481,286.75 : 102,356,797.50 = 102,356,797.50 : x
  2. Step 2: Convert to fraction form
    49,481,286.75/102,356,797.50 = 102,356,797.50/x
  3. Step 3: Cross multiply
    49,481,286.75x = 102,356,797.50 × 102,356,797.50
  4. Step 4: Simplify right side
    49,481,286.75x = 10,476,913,994,456,006
  5. Step 5: Solve for x
    x = 10,476,913,994,456,006/49,481,286.75
  6. Step 6: Final answer
    x = 211,734,873.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.