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Finding the Third Proportional to 100,296,708 and 218,399,054

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Solution

The third proportional to 100,296,708 and 218,399,054 is: 475,570,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296,708 : 218,399,054 = 218,399,054 : x
  2. Step 2: Convert to fraction form
    100,296,708/218,399,054 = 218,399,054/x
  3. Step 3: Cross multiply
    100,296,708x = 218,399,054 × 218,399,054
  4. Step 4: Simplify right side
    100,296,708x = 47,698,146,788,094,912
  5. Step 5: Solve for x
    x = 47,698,146,788,094,912/100,296,708
  6. Step 6: Final answer
    x = 475,570,412.42

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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.