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Finding the Third Proportional to 141,578,718,498 and 303,351,707,796

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Solution

The third proportional to 141,578,718,498 and 303,351,707,796 is: 649,972,394,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,578,718,498 : 303,351,707,796 = 303,351,707,796 : x
  2. Step 2: Convert to fraction form
    141,578,718,498/303,351,707,796 = 303,351,707,796/x
  3. Step 3: Cross multiply
    141,578,718,498x = 303,351,707,796 × 303,351,707,796
  4. Step 4: Simplify right side
    141,578,718,498x = 92,022,258,622,749,770,514,432
  5. Step 5: Solve for x
    x = 92,022,258,622,749,770,514,432/141,578,718,498
  6. Step 6: Final answer
    x = 649,972,394,149.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.