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Finding the Third Proportional to 49,481,286 and 102,356,796

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Solution

The third proportional to 49,481,286 and 102,356,796 is: 211,734,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,481,286 : 102,356,796 = 102,356,796 : x
  2. Step 2: Convert to fraction form
    49,481,286/102,356,796 = 102,356,796/x
  3. Step 3: Cross multiply
    49,481,286x = 102,356,796 × 102,356,796
  4. Step 4: Simplify right side
    49,481,286x = 10,476,913,687,385,616
  5. Step 5: Solve for x
    x = 10,476,913,687,385,616/49,481,286
  6. Step 6: Final answer
    x = 211,734,870.58

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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.