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Finding the Third Proportional to 76,675,416.75 and 165,042,540.75

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Solution

The third proportional to 76,675,416.75 and 165,042,540.75 is: 355,251,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675,416.75 : 165,042,540.75 = 165,042,540.75 : x
  2. Step 2: Convert to fraction form
    76,675,416.75/165,042,540.75 = 165,042,540.75/x
  3. Step 3: Cross multiply
    76,675,416.75x = 165,042,540.75 × 165,042,540.75
  4. Step 4: Simplify right side
    76,675,416.75x = 27,239,040,257,215,412
  5. Step 5: Solve for x
    x = 27,239,040,257,215,412/76,675,416.75
  6. Step 6: Final answer
    x = 355,251,284.07

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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.