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Finding the Third Proportional to 83,925,686,304 and 171,222,660,000

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Solution

The third proportional to 83,925,686,304 and 171,222,660,000 is: 349,323,319,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,925,686,304 : 171,222,660,000 = 171,222,660,000 : x
  2. Step 2: Convert to fraction form
    83,925,686,304/171,222,660,000 = 171,222,660,000/x
  3. Step 3: Cross multiply
    83,925,686,304x = 171,222,660,000 × 171,222,660,000
  4. Step 4: Simplify right side
    83,925,686,304x = 29,317,199,297,475,600,449,536
  5. Step 5: Solve for x
    x = 29,317,199,297,475,600,449,536/83,925,686,304
  6. Step 6: Final answer
    x = 349,323,319,100.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.