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Finding the Third Proportional to 76,675,403 and 165,042,508

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Solution

The third proportional to 76,675,403 and 165,042,508 is: 355,251,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675,403 : 165,042,508 = 165,042,508 : x
  2. Step 2: Convert to fraction form
    76,675,403/165,042,508 = 165,042,508/x
  3. Step 3: Cross multiply
    76,675,403x = 165,042,508 × 165,042,508
  4. Step 4: Simplify right side
    76,675,403x = 27,239,029,446,930,064
  5. Step 5: Solve for x
    x = 27,239,029,446,930,064/76,675,403
  6. Step 6: Final answer
    x = 355,251,206.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.