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Finding the Third Proportional to 76,015,766 and 165,965,250

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Solution

The third proportional to 76,015,766 and 165,965,250 is: 362,351,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015,766 : 165,965,250 = 165,965,250 : x
  2. Step 2: Convert to fraction form
    76,015,766/165,965,250 = 165,965,250/x
  3. Step 3: Cross multiply
    76,015,766x = 165,965,250 × 165,965,250
  4. Step 4: Simplify right side
    76,015,766x = 27,544,464,207,562,500
  5. Step 5: Solve for x
    x = 27,544,464,207,562,500/76,015,766
  6. Step 6: Final answer
    x = 362,351,991.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.