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Finding the Third Proportional to 211,000,424 and 444,672,208

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Solution

The third proportional to 211,000,424 and 444,672,208 is: 937,123,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,000,424 : 444,672,208 = 444,672,208 : x
  2. Step 2: Convert to fraction form
    211,000,424/444,672,208 = 444,672,208/x
  3. Step 3: Cross multiply
    211,000,424x = 444,672,208 × 444,672,208
  4. Step 4: Simplify right side
    211,000,424x = 197,733,372,567,595,264
  5. Step 5: Solve for x
    x = 197,733,372,567,595,264/211,000,424
  6. Step 6: Final answer
    x = 937,123,105.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.