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Finding the Third Proportional to 144,391,539 and 311,800,686

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Solution

The third proportional to 144,391,539 and 311,800,686 is: 673,305,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,391,539 : 311,800,686 = 311,800,686 : x
  2. Step 2: Convert to fraction form
    144,391,539/311,800,686 = 311,800,686/x
  3. Step 3: Cross multiply
    144,391,539x = 311,800,686 × 311,800,686
  4. Step 4: Simplify right side
    144,391,539x = 97,219,667,790,070,592
  5. Step 5: Solve for x
    x = 97,219,667,790,070,592/144,391,539
  6. Step 6: Final answer
    x = 673,305,849.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.