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Finding the Third Proportional to 192,763,916 and 293,665,586

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Solution

The third proportional to 192,763,916 and 293,665,586 is: 447,383,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,763,916 : 293,665,586 = 293,665,586 : x
  2. Step 2: Convert to fraction form
    192,763,916/293,665,586 = 293,665,586/x
  3. Step 3: Cross multiply
    192,763,916x = 293,665,586 × 293,665,586
  4. Step 4: Simplify right side
    192,763,916x = 86,239,476,400,723,392
  5. Step 5: Solve for x
    x = 86,239,476,400,723,392/192,763,916
  6. Step 6: Final answer
    x = 447,383,920.14

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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.