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Finding the Third Proportional to 156,729,180 and 365,989,012

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Solution

The third proportional to 156,729,180 and 365,989,012 is: 854,645,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729,180 : 365,989,012 = 365,989,012 : x
  2. Step 2: Convert to fraction form
    156,729,180/365,989,012 = 365,989,012/x
  3. Step 3: Cross multiply
    156,729,180x = 365,989,012 × 365,989,012
  4. Step 4: Simplify right side
    156,729,180x = 133,947,956,904,736,144
  5. Step 5: Solve for x
    x = 133,947,956,904,736,144/156,729,180
  6. Step 6: Final answer
    x = 854,645,937.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.