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Finding the Third Proportional to 102,104,001 and 218,560,194

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Solution

The third proportional to 102,104,001 and 218,560,194 is: 467,842,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104,001 : 218,560,194 = 218,560,194 : x
  2. Step 2: Convert to fraction form
    102,104,001/218,560,194 = 218,560,194/x
  3. Step 3: Cross multiply
    102,104,001x = 218,560,194 × 218,560,194
  4. Step 4: Simplify right side
    102,104,001x = 47,768,558,401,317,632
  5. Step 5: Solve for x
    x = 47,768,558,401,317,632/102,104,001
  6. Step 6: Final answer
    x = 467,842,179.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.