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Finding the Third Proportional to 83,989,149.75 and 174,682,819.69

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Solution

The third proportional to 83,989,149.75 and 174,682,819.69 is: 363,309,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989,149.75 : 174,682,819.69 = 174,682,819.69 : x
  2. Step 2: Convert to fraction form
    83,989,149.75/174,682,819.69 = 174,682,819.69/x
  3. Step 3: Cross multiply
    83,989,149.75x = 174,682,819.69 × 174,682,819.69
  4. Step 4: Simplify right side
    83,989,149.75x = 30,514,087,493,975,636
  5. Step 5: Solve for x
    x = 30,514,087,493,975,636/83,989,149.75
  6. Step 6: Final answer
    x = 363,309,874.96

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.