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Finding the Third Proportional to 206,183,641,018 and 443,878,560,658.50

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Solution

The third proportional to 206,183,641,018 and 443,878,560,658.50 is: 955,595,582,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,183,641,018 : 443,878,560,658.50 = 443,878,560,658.50 : x
  2. Step 2: Convert to fraction form
    206,183,641,018/443,878,560,658.50 = 443,878,560,658.50/x
  3. Step 3: Cross multiply
    206,183,641,018x = 443,878,560,658.50 × 443,878,560,658.50
  4. Step 4: Simplify right side
    206,183,641,018x = 197,028,176,612,261,671,993,344
  5. Step 5: Solve for x
    x = 197,028,176,612,261,671,993,344/206,183,641,018
  6. Step 6: Final answer
    x = 955,595,582,847.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.