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Finding the Third Proportional to 83,085,840.50 and 192,328,676.75

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Solution

The third proportional to 83,085,840.50 and 192,328,676.75 is: 445,206,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085,840.50 : 192,328,676.75 = 192,328,676.75 : x
  2. Step 2: Convert to fraction form
    83,085,840.50/192,328,676.75 = 192,328,676.75/x
  3. Step 3: Cross multiply
    83,085,840.50x = 192,328,676.75 × 192,328,676.75
  4. Step 4: Simplify right side
    83,085,840.50x = 36,990,319,900,405,992
  5. Step 5: Solve for x
    x = 36,990,319,900,405,992/83,085,840.50
  6. Step 6: Final answer
    x = 445,206,062.52

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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.