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Finding the Third Proportional to 282,883,183.50 and 425,377,524

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Solution

The third proportional to 282,883,183.50 and 425,377,524 is: 639,649,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,883,183.50 : 425,377,524 = 425,377,524 : x
  2. Step 2: Convert to fraction form
    282,883,183.50/425,377,524 = 425,377,524/x
  3. Step 3: Cross multiply
    282,883,183.50x = 425,377,524 × 425,377,524
  4. Step 4: Simplify right side
    282,883,183.50x = 180,946,037,924,370,560
  5. Step 5: Solve for x
    x = 180,946,037,924,370,560/282,883,183.50
  6. Step 6: Final answer
    x = 639,649,326.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.