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Finding the Third Proportional to 230,231,132,866 and 513,399,863,684

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Solution

The third proportional to 230,231,132,866 and 513,399,863,684 is: 1,144,846,992,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,231,132,866 : 513,399,863,684 = 513,399,863,684 : x
  2. Step 2: Convert to fraction form
    230,231,132,866/513,399,863,684 = 513,399,863,684/x
  3. Step 3: Cross multiply
    230,231,132,866x = 513,399,863,684 × 513,399,863,684
  4. Step 4: Simplify right side
    230,231,132,866x = 263,579,420,030,749,798,039,552
  5. Step 5: Solve for x
    x = 263,579,420,030,749,798,039,552/230,231,132,866
  6. Step 6: Final answer
    x = 1,144,846,992,453.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.