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Finding the Third Proportional to 156,729,224 and 365,989,122

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Solution

The third proportional to 156,729,224 and 365,989,122 is: 854,646,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729,224 : 365,989,122 = 365,989,122 : x
  2. Step 2: Convert to fraction form
    156,729,224/365,989,122 = 365,989,122/x
  3. Step 3: Cross multiply
    156,729,224x = 365,989,122 × 365,989,122
  4. Step 4: Simplify right side
    156,729,224x = 133,948,037,422,330,880
  5. Step 5: Solve for x
    x = 133,948,037,422,330,880/156,729,224
  6. Step 6: Final answer
    x = 854,646,210.86

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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.