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Finding the Third Proportional to 96,083,039,788 and 206,626,246,648

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Solution

The third proportional to 96,083,039,788 and 206,626,246,648 is: 444,349,032,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,083,039,788 : 206,626,246,648 = 206,626,246,648 : x
  2. Step 2: Convert to fraction form
    96,083,039,788/206,626,246,648 = 206,626,246,648/x
  3. Step 3: Cross multiply
    96,083,039,788x = 206,626,246,648 × 206,626,246,648
  4. Step 4: Simplify right side
    96,083,039,788x = 42,694,405,803,840,133,660,672
  5. Step 5: Solve for x
    x = 42,694,405,803,840,133,660,672/96,083,039,788
  6. Step 6: Final answer
    x = 444,349,032,857.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.