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Finding the Third Proportional to 111,633,232,728 and 171,588,282,372

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Solution

The third proportional to 111,633,232,728 and 171,588,282,372 is: 263,743,492,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,633,232,728 : 171,588,282,372 = 171,588,282,372 : x
  2. Step 2: Convert to fraction form
    111,633,232,728/171,588,282,372 = 171,588,282,372/x
  3. Step 3: Cross multiply
    111,633,232,728x = 171,588,282,372 × 171,588,282,372
  4. Step 4: Simplify right side
    111,633,232,728x = 29,442,538,647,373,207,306,240
  5. Step 5: Solve for x
    x = 29,442,538,647,373,207,306,240/111,633,232,728
  6. Step 6: Final answer
    x = 263,743,492,218.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.