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Finding the Third Proportional to 195,005,114,185.50 and 395,493,328,377

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Solution

The third proportional to 195,005,114,185.50 and 395,493,328,377 is: 802,107,029,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,005,114,185.50 : 395,493,328,377 = 395,493,328,377 : x
  2. Step 2: Convert to fraction form
    195,005,114,185.50/395,493,328,377 = 395,493,328,377/x
  3. Step 3: Cross multiply
    195,005,114,185.50x = 395,493,328,377 × 395,493,328,377
  4. Step 4: Simplify right side
    195,005,114,185.50x = 156,414,972,790,717,556,981,760
  5. Step 5: Solve for x
    x = 156,414,972,790,717,556,981,760/195,005,114,185.50
  6. Step 6: Final answer
    x = 802,107,029,059.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.