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Finding the Third Proportional to 383,793,190.03 and 561,296,557.13

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Solution

The third proportional to 383,793,190.03 and 561,296,557.13 is: 820,894,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,793,190.03 : 561,296,557.13 = 561,296,557.13 : x
  2. Step 2: Convert to fraction form
    383,793,190.03/561,296,557.13 = 561,296,557.13/x
  3. Step 3: Cross multiply
    383,793,190.03x = 561,296,557.13 × 561,296,557.13
  4. Step 4: Simplify right side
    383,793,190.03x = 315,053,825,040,378,368
  5. Step 5: Solve for x
    x = 315,053,825,040,378,368/383,793,190.03
  6. Step 6: Final answer
    x = 820,894,776.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.