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Finding the Third Proportional to 230,231,132,864 and 513,399,863,680

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Solution

The third proportional to 230,231,132,864 and 513,399,863,680 is: 1,144,846,992,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,231,132,864 : 513,399,863,680 = 513,399,863,680 : x
  2. Step 2: Convert to fraction form
    230,231,132,864/513,399,863,680 = 513,399,863,680/x
  3. Step 3: Cross multiply
    230,231,132,864x = 513,399,863,680 × 513,399,863,680
  4. Step 4: Simplify right side
    230,231,132,864x = 263,579,420,026,642,567,790,592
  5. Step 5: Solve for x
    x = 263,579,420,026,642,567,790,592/230,231,132,864
  6. Step 6: Final answer
    x = 1,144,846,992,445.38

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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.