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Finding the Third Proportional to 83,085,416 and 192,327,704

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Solution

The third proportional to 83,085,416 and 192,327,704 is: 445,203,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085,416 : 192,327,704 = 192,327,704 : x
  2. Step 2: Convert to fraction form
    83,085,416/192,327,704 = 192,327,704/x
  3. Step 3: Cross multiply
    83,085,416x = 192,327,704 × 192,327,704
  4. Step 4: Simplify right side
    83,085,416x = 36,989,945,725,911,616
  5. Step 5: Solve for x
    x = 36,989,945,725,911,616/83,085,416
  6. Step 6: Final answer
    x = 445,203,833.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.