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Finding the Third Proportional to 206,629,765.50 and 449,579,031

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Solution

The third proportional to 206,629,765.50 and 449,579,031 is: 978,180,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,629,765.50 : 449,579,031 = 449,579,031 : x
  2. Step 2: Convert to fraction form
    206,629,765.50/449,579,031 = 449,579,031/x
  3. Step 3: Cross multiply
    206,629,765.50x = 449,579,031 × 449,579,031
  4. Step 4: Simplify right side
    206,629,765.50x = 202,121,305,114,898,976
  5. Step 5: Solve for x
    x = 202,121,305,114,898,976/206,629,765.50
  6. Step 6: Final answer
    x = 978,180,973.23

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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.