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Finding the Third Proportional to 109,690,804,647 and 154,468,824,372

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Solution

The third proportional to 109,690,804,647 and 154,468,824,372 is: 217,526,143,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,690,804,647 : 154,468,824,372 = 154,468,824,372 : x
  2. Step 2: Convert to fraction form
    109,690,804,647/154,468,824,372 = 154,468,824,372/x
  3. Step 3: Cross multiply
    109,690,804,647x = 154,468,824,372 × 154,468,824,372
  4. Step 4: Simplify right side
    109,690,804,647x = 23,860,617,702,867,782,860,800
  5. Step 5: Solve for x
    x = 23,860,617,702,867,782,860,800/109,690,804,647
  6. Step 6: Final answer
    x = 217,526,143,414.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.