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Finding the Third Proportional to 192,763,843.88 and 293,665,473

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Solution

The third proportional to 192,763,843.88 and 293,665,473 is: 447,383,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,763,843.88 : 293,665,473 = 293,665,473 : x
  2. Step 2: Convert to fraction form
    192,763,843.88/293,665,473 = 293,665,473/x
  3. Step 3: Cross multiply
    192,763,843.88x = 293,665,473 × 293,665,473
  4. Step 4: Simplify right side
    192,763,843.88x = 86,239,410,032,313,728
  5. Step 5: Solve for x
    x = 86,239,410,032,313,728/192,763,843.88
  6. Step 6: Final answer
    x = 447,383,743.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.