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Finding the Third Proportional to 143,939,456 and 313,436,016

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Solution

The third proportional to 143,939,456 and 313,436,016 is: 682,524,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,939,456 : 313,436,016 = 313,436,016 : x
  2. Step 2: Convert to fraction form
    143,939,456/313,436,016 = 313,436,016/x
  3. Step 3: Cross multiply
    143,939,456x = 313,436,016 × 313,436,016
  4. Step 4: Simplify right side
    143,939,456x = 98,242,136,125,952,256
  5. Step 5: Solve for x
    x = 98,242,136,125,952,256/143,939,456
  6. Step 6: Final answer
    x = 682,524,019.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.