Home / 205,780,448,183.24-445,755,238,596.76

Finding the Third Proportional to 205,780,448,183.24 and 445,755,238,596.76

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Solution

The third proportional to 205,780,448,183.24 and 445,755,238,596.76 is: 965,581,203,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,780,448,183.24 : 445,755,238,596.76 = 445,755,238,596.76 : x
  2. Step 2: Convert to fraction form
    205,780,448,183.24/445,755,238,596.76 = 445,755,238,596.76/x
  3. Step 3: Cross multiply
    205,780,448,183.24x = 445,755,238,596.76 × 445,755,238,596.76
  4. Step 4: Simplify right side
    205,780,448,183.24x = 198,697,732,736,454,441,828,352
  5. Step 5: Solve for x
    x = 198,697,732,736,454,441,828,352/205,780,448,183.24
  6. Step 6: Final answer
    x = 965,581,203,125.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.