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Finding the Third Proportional to 220,145,519 and 471,804,204

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Solution

The third proportional to 220,145,519 and 471,804,204 is: 1,011,145,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,145,519 : 471,804,204 = 471,804,204 : x
  2. Step 2: Convert to fraction form
    220,145,519/471,804,204 = 471,804,204/x
  3. Step 3: Cross multiply
    220,145,519x = 471,804,204 × 471,804,204
  4. Step 4: Simplify right side
    220,145,519x = 222,599,206,912,073,600
  5. Step 5: Solve for x
    x = 222,599,206,912,073,600/220,145,519
  6. Step 6: Final answer
    x = 1,011,145,754.51

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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.