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Finding the Third Proportional to 76,675,408.50 and 165,042,519

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Solution

The third proportional to 76,675,408.50 and 165,042,519 is: 355,251,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675,408.50 : 165,042,519 = 165,042,519 : x
  2. Step 2: Convert to fraction form
    76,675,408.50/165,042,519 = 165,042,519/x
  3. Step 3: Cross multiply
    76,675,408.50x = 165,042,519 × 165,042,519
  4. Step 4: Simplify right side
    76,675,408.50x = 27,239,033,077,865,360
  5. Step 5: Solve for x
    x = 27,239,033,077,865,360/76,675,408.50
  6. Step 6: Final answer
    x = 355,251,228.66

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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.