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Finding the Third Proportional to 49,481,296.50 and 102,356,817

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Solution

The third proportional to 49,481,296.50 and 102,356,817 is: 211,734,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,481,296.50 : 102,356,817 = 102,356,817 : x
  2. Step 2: Convert to fraction form
    49,481,296.50/102,356,817 = 102,356,817/x
  3. Step 3: Cross multiply
    49,481,296.50x = 102,356,817 × 102,356,817
  4. Step 4: Simplify right side
    49,481,296.50x = 10,476,917,986,371,488
  5. Step 5: Solve for x
    x = 10,476,917,986,371,488/49,481,296.50
  6. Step 6: Final answer
    x = 211,734,912.53

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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.