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Finding the Third Proportional to 230,111,469 and 494,375,122

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Solution

The third proportional to 230,111,469 and 494,375,122 is: 1,062,123,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,111,469 : 494,375,122 = 494,375,122 : x
  2. Step 2: Convert to fraction form
    230,111,469/494,375,122 = 494,375,122/x
  3. Step 3: Cross multiply
    230,111,469x = 494,375,122 × 494,375,122
  4. Step 4: Simplify right side
    230,111,469x = 244,406,761,252,514,880
  5. Step 5: Solve for x
    x = 244,406,761,252,514,880/230,111,469
  6. Step 6: Final answer
    x = 1,062,123,336.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.