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Finding the Third Proportional to 498,285,199.50 and 1,090,410,330

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Solution

The third proportional to 498,285,199.50 and 1,090,410,330 is: 2,386,172,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,285,199.50 : 1,090,410,330 = 1,090,410,330 : x
  2. Step 2: Convert to fraction form
    498,285,199.50/1,090,410,330 = 1,090,410,330/x
  3. Step 3: Cross multiply
    498,285,199.50x = 1,090,410,330 × 1,090,410,330
  4. Step 4: Simplify right side
    498,285,199.50x = 1,188,994,687,770,708,992
  5. Step 5: Solve for x
    x = 1,188,994,687,770,708,992/498,285,199.50
  6. Step 6: Final answer
    x = 2,386,172,996.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.