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Finding the Third Proportional to 206,621,760 and 449,562,802

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Solution

The third proportional to 206,621,760 and 449,562,802 is: 978,148,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,621,760 : 449,562,802 = 449,562,802 : x
  2. Step 2: Convert to fraction form
    206,621,760/449,562,802 = 449,562,802/x
  3. Step 3: Cross multiply
    206,621,760x = 449,562,802 × 449,562,802
  4. Step 4: Simplify right side
    206,621,760x = 202,106,712,942,091,200
  5. Step 5: Solve for x
    x = 202,106,712,942,091,200/206,621,760
  6. Step 6: Final answer
    x = 978,148,249.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.