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Finding the Third Proportional to 96,083,039,840 and 206,626,246,748

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Solution

The third proportional to 96,083,039,840 and 206,626,246,748 is: 444,349,033,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,083,039,840 : 206,626,246,748 = 206,626,246,748 : x
  2. Step 2: Convert to fraction form
    96,083,039,840/206,626,246,748 = 206,626,246,748/x
  3. Step 3: Cross multiply
    96,083,039,840x = 206,626,246,748 × 206,626,246,748
  4. Step 4: Simplify right side
    96,083,039,840x = 42,694,405,845,165,377,847,296
  5. Step 5: Solve for x
    x = 42,694,405,845,165,377,847,296/96,083,039,840
  6. Step 6: Final answer
    x = 444,349,033,047.47

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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.