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Finding the Third Proportional to 83,085,837 and 192,328,668

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Solution

The third proportional to 83,085,837 and 192,328,668 is: 445,206,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085,837 : 192,328,668 = 192,328,668 : x
  2. Step 2: Convert to fraction form
    83,085,837/192,328,668 = 192,328,668/x
  3. Step 3: Cross multiply
    83,085,837x = 192,328,668 × 192,328,668
  4. Step 4: Simplify right side
    83,085,837x = 36,990,316,534,654,224
  5. Step 5: Solve for x
    x = 36,990,316,534,654,224/83,085,837
  6. Step 6: Final answer
    x = 445,206,040.77

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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.