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Finding the Third Proportional to 83,188,620 and 179,530,222.50

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Solution

The third proportional to 83,188,620 and 179,530,222.50 is: 387,446,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188,620 : 179,530,222.50 = 179,530,222.50 : x
  2. Step 2: Convert to fraction form
    83,188,620/179,530,222.50 = 179,530,222.50/x
  3. Step 3: Cross multiply
    83,188,620x = 179,530,222.50 × 179,530,222.50
  4. Step 4: Simplify right side
    83,188,620x = 32,231,100,790,899,508
  5. Step 5: Solve for x
    x = 32,231,100,790,899,508/83,188,620
  6. Step 6: Final answer
    x = 387,446,032.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.