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Finding the Third Proportional to 75,913,731,304 and 158,110,795,728

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Solution

The third proportional to 75,913,731,304 and 158,110,795,728 is: 329,308,325,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,913,731,304 : 158,110,795,728 = 158,110,795,728 : x
  2. Step 2: Convert to fraction form
    75,913,731,304/158,110,795,728 = 158,110,795,728/x
  3. Step 3: Cross multiply
    75,913,731,304x = 158,110,795,728 × 158,110,795,728
  4. Step 4: Simplify right side
    75,913,731,304x = 24,999,023,725,741,342,720,000
  5. Step 5: Solve for x
    x = 24,999,023,725,741,342,720,000/75,913,731,304
  6. Step 6: Final answer
    x = 329,308,325,336.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.