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Finding the Third Proportional to 231,878,086 and 500,074,144

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Solution

The third proportional to 231,878,086 and 500,074,144 is: 1,078,472,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,878,086 : 500,074,144 = 500,074,144 : x
  2. Step 2: Convert to fraction form
    231,878,086/500,074,144 = 500,074,144/x
  3. Step 3: Cross multiply
    231,878,086x = 500,074,144 × 500,074,144
  4. Step 4: Simplify right side
    231,878,086x = 250,074,149,497,332,736
  5. Step 5: Solve for x
    x = 250,074,149,497,332,736/231,878,086
  6. Step 6: Final answer
    x = 1,078,472,544.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.