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Finding the Third Proportional to 137,942,183 and 229,894,379

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Solution

The third proportional to 137,942,183 and 229,894,379 is: 383,141,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,942,183 : 229,894,379 = 229,894,379 : x
  2. Step 2: Convert to fraction form
    137,942,183/229,894,379 = 229,894,379/x
  3. Step 3: Cross multiply
    137,942,183x = 229,894,379 × 229,894,379
  4. Step 4: Simplify right side
    137,942,183x = 52,851,425,495,795,640
  5. Step 5: Solve for x
    x = 52,851,425,495,795,640/137,942,183
  6. Step 6: Final answer
    x = 383,141,866.73

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.