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Finding the Third Proportional to 206,622,498 and 449,564,064

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Solution

The third proportional to 206,622,498 and 449,564,064 is: 978,150,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,622,498 : 449,564,064 = 449,564,064 : x
  2. Step 2: Convert to fraction form
    206,622,498/449,564,064 = 449,564,064/x
  3. Step 3: Cross multiply
    206,622,498x = 449,564,064 × 449,564,064
  4. Step 4: Simplify right side
    206,622,498x = 202,107,847,640,196,096
  5. Step 5: Solve for x
    x = 202,107,847,640,196,096/206,622,498
  6. Step 6: Final answer
    x = 978,150,247.90

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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.