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Finding the Third Proportional to 174,227,384 and 379,179,968

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Solution

The third proportional to 174,227,384 and 379,179,968 is: 825,228,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,227,384 : 379,179,968 = 379,179,968 : x
  2. Step 2: Convert to fraction form
    174,227,384/379,179,968 = 379,179,968/x
  3. Step 3: Cross multiply
    174,227,384x = 379,179,968 × 379,179,968
  4. Step 4: Simplify right side
    174,227,384x = 143,777,448,132,481,024
  5. Step 5: Solve for x
    x = 143,777,448,132,481,024/174,227,384
  6. Step 6: Final answer
    x = 825,228,760.44

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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.