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Finding the Third Proportional to 182,471,137.50 and 377,876,467.50

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Solution

The third proportional to 182,471,137.50 and 377,876,467.50 is: 782,538,140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,471,137.50 : 377,876,467.50 = 377,876,467.50 : x
  2. Step 2: Convert to fraction form
    182,471,137.50/377,876,467.50 = 377,876,467.50/x
  3. Step 3: Cross multiply
    182,471,137.50x = 377,876,467.50 × 377,876,467.50
  4. Step 4: Simplify right side
    182,471,137.50x = 142,790,624,690,278,560
  5. Step 5: Solve for x
    x = 142,790,624,690,278,560/182,471,137.50
  6. Step 6: Final answer
    x = 782,538,140.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.