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Finding the Third Proportional to 188,105,467 and 393,362,344

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Solution

The third proportional to 188,105,467 and 393,362,344 is: 822,591,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,105,467 : 393,362,344 = 393,362,344 : x
  2. Step 2: Convert to fraction form
    188,105,467/393,362,344 = 393,362,344/x
  3. Step 3: Cross multiply
    188,105,467x = 393,362,344 × 393,362,344
  4. Step 4: Simplify right side
    188,105,467x = 154,733,933,677,174,336
  5. Step 5: Solve for x
    x = 154,733,933,677,174,336/188,105,467
  6. Step 6: Final answer
    x = 822,591,369.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.