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Finding the Third Proportional to 83,085,831 and 192,328,654.50

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Solution

The third proportional to 83,085,831 and 192,328,654.50 is: 445,206,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085,831 : 192,328,654.50 = 192,328,654.50 : x
  2. Step 2: Convert to fraction form
    83,085,831/192,328,654.50 = 192,328,654.50/x
  3. Step 3: Cross multiply
    83,085,831x = 192,328,654.50 × 192,328,654.50
  4. Step 4: Simplify right side
    83,085,831x = 36,990,311,341,780,368
  5. Step 5: Solve for x
    x = 36,990,311,341,780,368/83,085,831
  6. Step 6: Final answer
    x = 445,206,010.42

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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.