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Finding the Third Proportional to 83,304,985,170 and 126,906,537,744

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Solution

The third proportional to 83,304,985,170 and 126,906,537,744 is: 193,328,998,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,304,985,170 : 126,906,537,744 = 126,906,537,744 : x
  2. Step 2: Convert to fraction form
    83,304,985,170/126,906,537,744 = 126,906,537,744/x
  3. Step 3: Cross multiply
    83,304,985,170x = 126,906,537,744 × 126,906,537,744
  4. Step 4: Simplify right side
    83,304,985,170x = 16,105,269,322,169,297,403,904
  5. Step 5: Solve for x
    x = 16,105,269,322,169,297,403,904/83,304,985,170
  6. Step 6: Final answer
    x = 193,328,998,130.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.