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Finding the Third Proportional to 230,231,131,407 and 513,399,861,090

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Solution

The third proportional to 230,231,131,407 and 513,399,861,090 is: 1,144,846,988,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,231,131,407 : 513,399,861,090 = 513,399,861,090 : x
  2. Step 2: Convert to fraction form
    230,231,131,407/513,399,861,090 = 513,399,861,090/x
  3. Step 3: Cross multiply
    230,231,131,407x = 513,399,861,090 × 513,399,861,090
  4. Step 4: Simplify right side
    230,231,131,407x = 263,579,417,367,231,298,797,568
  5. Step 5: Solve for x
    x = 263,579,417,367,231,298,797,568/230,231,131,407
  6. Step 6: Final answer
    x = 1,144,846,988,139.40

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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.