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Finding the Third Proportional to 101,728,016 and 218,001,184

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Solution

The third proportional to 101,728,016 and 218,001,184 is: 467,172,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,728,016 : 218,001,184 = 218,001,184 : x
  2. Step 2: Convert to fraction form
    101,728,016/218,001,184 = 218,001,184/x
  3. Step 3: Cross multiply
    101,728,016x = 218,001,184 × 218,001,184
  4. Step 4: Simplify right side
    101,728,016x = 47,524,516,225,401,856
  5. Step 5: Solve for x
    x = 47,524,516,225,401,856/101,728,016
  6. Step 6: Final answer
    x = 467,172,349.31

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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.