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Finding the Third Proportional to 165,013,616 and 349,697,839

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Solution

The third proportional to 165,013,616 and 349,697,839 is: 741,081,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013,616 : 349,697,839 = 349,697,839 : x
  2. Step 2: Convert to fraction form
    165,013,616/349,697,839 = 349,697,839/x
  3. Step 3: Cross multiply
    165,013,616x = 349,697,839 × 349,697,839
  4. Step 4: Simplify right side
    165,013,616x = 122,288,578,601,269,920
  5. Step 5: Solve for x
    x = 122,288,578,601,269,920/165,013,616
  6. Step 6: Final answer
    x = 741,081,745.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.