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Finding the Third Proportional to 233,647,800 and 498,568,176

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Solution

The third proportional to 233,647,800 and 498,568,176 is: 1,063,867,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647,800 : 498,568,176 = 498,568,176 : x
  2. Step 2: Convert to fraction form
    233,647,800/498,568,176 = 498,568,176/x
  3. Step 3: Cross multiply
    233,647,800x = 498,568,176 × 498,568,176
  4. Step 4: Simplify right side
    233,647,800x = 248,570,226,119,966,976
  5. Step 5: Solve for x
    x = 248,570,226,119,966,976/233,647,800
  6. Step 6: Final answer
    x = 1,063,867,180.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.