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Finding the Third Proportional to 96,083,039,613 and 206,626,246,304

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Solution

The third proportional to 96,083,039,613 and 206,626,246,304 is: 444,349,032,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,083,039,613 : 206,626,246,304 = 206,626,246,304 : x
  2. Step 2: Convert to fraction form
    96,083,039,613/206,626,246,304 = 206,626,246,304/x
  3. Step 3: Cross multiply
    96,083,039,613x = 206,626,246,304 × 206,626,246,304
  4. Step 4: Simplify right side
    96,083,039,613x = 42,694,405,661,681,271,177,216
  5. Step 5: Solve for x
    x = 42,694,405,661,681,271,177,216/96,083,039,613
  6. Step 6: Final answer
    x = 444,349,032,187.62

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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.