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Finding the Third Proportional to 156,729,216 and 365,989,102

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Solution

The third proportional to 156,729,216 and 365,989,102 is: 854,646,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729,216 : 365,989,102 = 365,989,102 : x
  2. Step 2: Convert to fraction form
    156,729,216/365,989,102 = 365,989,102/x
  3. Step 3: Cross multiply
    156,729,216x = 365,989,102 × 365,989,102
  4. Step 4: Simplify right side
    156,729,216x = 133,948,022,782,766,400
  5. Step 5: Solve for x
    x = 133,948,022,782,766,400/156,729,216
  6. Step 6: Final answer
    x = 854,646,161.08

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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.