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Finding the Third Proportional to 211,854,609 and 448,910,748

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Solution

The third proportional to 211,854,609 and 448,910,748 is: 951,222,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,854,609 : 448,910,748 = 448,910,748 : x
  2. Step 2: Convert to fraction form
    211,854,609/448,910,748 = 448,910,748/x
  3. Step 3: Cross multiply
    211,854,609x = 448,910,748 × 448,910,748
  4. Step 4: Simplify right side
    211,854,609x = 201,520,859,669,919,488
  5. Step 5: Solve for x
    x = 201,520,859,669,919,488/211,854,609
  6. Step 6: Final answer
    x = 951,222,447.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.