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Finding the Third Proportional to 211,729,204 and 458,632,856

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Solution

The third proportional to 211,729,204 and 458,632,856 is: 993,458,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,729,204 : 458,632,856 = 458,632,856 : x
  2. Step 2: Convert to fraction form
    211,729,204/458,632,856 = 458,632,856/x
  3. Step 3: Cross multiply
    211,729,204x = 458,632,856 × 458,632,856
  4. Step 4: Simplify right side
    211,729,204x = 210,344,096,602,716,736
  5. Step 5: Solve for x
    x = 210,344,096,602,716,736/211,729,204
  6. Step 6: Final answer
    x = 993,458,118.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.