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Finding the Third Proportional to 98,149,589 and 206,452,642

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Solution

The third proportional to 98,149,589 and 206,452,642 is: 434,262,576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,149,589 : 206,452,642 = 206,452,642 : x
  2. Step 2: Convert to fraction form
    98,149,589/206,452,642 = 206,452,642/x
  3. Step 3: Cross multiply
    98,149,589x = 206,452,642 × 206,452,642
  4. Step 4: Simplify right side
    98,149,589x = 42,622,693,388,780,160
  5. Step 5: Solve for x
    x = 42,622,693,388,780,160/98,149,589
  6. Step 6: Final answer
    x = 434,262,576.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.