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Finding the Third Proportional to 192,469,385 and 395,142,136

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Solution

The third proportional to 192,469,385 and 395,142,136 is: 811,231,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,469,385 : 395,142,136 = 395,142,136 : x
  2. Step 2: Convert to fraction form
    192,469,385/395,142,136 = 395,142,136/x
  3. Step 3: Cross multiply
    192,469,385x = 395,142,136 × 395,142,136
  4. Step 4: Simplify right side
    192,469,385x = 156,137,307,642,642,496
  5. Step 5: Solve for x
    x = 156,137,307,642,642,496/192,469,385
  6. Step 6: Final answer
    x = 811,231,914.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.