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Finding the Third Proportional to 107,941,839 and 157,864,663

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Solution

The third proportional to 107,941,839 and 157,864,663 is: 230,876,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,941,839 : 157,864,663 = 157,864,663 : x
  2. Step 2: Convert to fraction form
    107,941,839/157,864,663 = 157,864,663/x
  3. Step 3: Cross multiply
    107,941,839x = 157,864,663 × 157,864,663
  4. Step 4: Simplify right side
    107,941,839x = 24,921,251,824,103,568
  5. Step 5: Solve for x
    x = 24,921,251,824,103,568/107,941,839
  6. Step 6: Final answer
    x = 230,876,665.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.