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Finding the Third Proportional to 89,728,529 and 191,892,337

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Solution

The third proportional to 89,728,529 and 191,892,337 is: 410,378,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,728,529 : 191,892,337 = 191,892,337 : x
  2. Step 2: Convert to fraction form
    89,728,529/191,892,337 = 191,892,337/x
  3. Step 3: Cross multiply
    89,728,529x = 191,892,337 × 191,892,337
  4. Step 4: Simplify right side
    89,728,529x = 36,822,668,999,321,568
  5. Step 5: Solve for x
    x = 36,822,668,999,321,568/89,728,529
  6. Step 6: Final answer
    x = 410,378,609.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.