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Finding the Third Proportional to 181,136,310.75 and 397,857,367.13

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Solution

The third proportional to 181,136,310.75 and 397,857,367.13 is: 873,874,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,136,310.75 : 397,857,367.13 = 397,857,367.13 : x
  2. Step 2: Convert to fraction form
    181,136,310.75/397,857,367.13 = 397,857,367.13/x
  3. Step 3: Cross multiply
    181,136,310.75x = 397,857,367.13 × 397,857,367.13
  4. Step 4: Simplify right side
    181,136,310.75x = 158,290,484,575,637,024
  5. Step 5: Solve for x
    x = 158,290,484,575,637,024/181,136,310.75
  6. Step 6: Final answer
    x = 873,874,950.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.