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Finding the Third Proportional to 100,296,706 and 218,399,050

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Solution

The third proportional to 100,296,706 and 218,399,050 is: 475,570,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296,706 : 218,399,050 = 218,399,050 : x
  2. Step 2: Convert to fraction form
    100,296,706/218,399,050 = 218,399,050/x
  3. Step 3: Cross multiply
    100,296,706x = 218,399,050 × 218,399,050
  4. Step 4: Simplify right side
    100,296,706x = 47,698,145,040,902,496
  5. Step 5: Solve for x
    x = 47,698,145,040,902,496/100,296,706
  6. Step 6: Final answer
    x = 475,570,404.48

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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.