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Finding the Third Proportional to 156,729,236 and 365,989,152

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Solution

The third proportional to 156,729,236 and 365,989,152 is: 854,646,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729,236 : 365,989,152 = 365,989,152 : x
  2. Step 2: Convert to fraction form
    156,729,236/365,989,152 = 365,989,152/x
  3. Step 3: Cross multiply
    156,729,236x = 365,989,152 × 365,989,152
  4. Step 4: Simplify right side
    156,729,236x = 133,948,059,381,679,104
  5. Step 5: Solve for x
    x = 133,948,059,381,679,104/156,729,236
  6. Step 6: Final answer
    x = 854,646,285.53

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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.