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Finding the Third Proportional to 196,393,351 and 294,590,027

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Solution

The third proportional to 196,393,351 and 294,590,027 is: 441,885,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,393,351 : 294,590,027 = 294,590,027 : x
  2. Step 2: Convert to fraction form
    196,393,351/294,590,027 = 294,590,027/x
  3. Step 3: Cross multiply
    196,393,351x = 294,590,027 × 294,590,027
  4. Step 4: Simplify right side
    196,393,351x = 86,783,284,007,860,736
  5. Step 5: Solve for x
    x = 86,783,284,007,860,736/196,393,351
  6. Step 6: Final answer
    x = 441,885,041.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.