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Finding the Third Proportional to 169,173,768 and 269,188,722

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Solution

The third proportional to 169,173,768 and 269,188,722 is: 428,332,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,173,768 : 269,188,722 = 269,188,722 : x
  2. Step 2: Convert to fraction form
    169,173,768/269,188,722 = 269,188,722/x
  3. Step 3: Cross multiply
    169,173,768x = 269,188,722 × 269,188,722
  4. Step 4: Simplify right side
    169,173,768x = 72,462,568,051,993,280
  5. Step 5: Solve for x
    x = 72,462,568,051,993,280/169,173,768
  6. Step 6: Final answer
    x = 428,332,175.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.