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Finding the Third Proportional to 49,481,282 and 102,356,788

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Solution

The third proportional to 49,481,282 and 102,356,788 is: 211,734,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,481,282 : 102,356,788 = 102,356,788 : x
  2. Step 2: Convert to fraction form
    49,481,282/102,356,788 = 102,356,788/x
  3. Step 3: Cross multiply
    49,481,282x = 102,356,788 × 102,356,788
  4. Step 4: Simplify right side
    49,481,282x = 10,476,912,049,676,944
  5. Step 5: Solve for x
    x = 10,476,912,049,676,944/49,481,282
  6. Step 6: Final answer
    x = 211,734,854.60

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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.