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Finding the Third Proportional to 158,366,923 and 331,213,406

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Solution

The third proportional to 158,366,923 and 331,213,406 is: 692,709,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,366,923 : 331,213,406 = 331,213,406 : x
  2. Step 2: Convert to fraction form
    158,366,923/331,213,406 = 331,213,406/x
  3. Step 3: Cross multiply
    158,366,923x = 331,213,406 × 331,213,406
  4. Step 4: Simplify right side
    158,366,923x = 109,702,320,314,120,832
  5. Step 5: Solve for x
    x = 109,702,320,314,120,832/158,366,923
  6. Step 6: Final answer
    x = 692,709,804.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.