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Finding the Third Proportional to 156,729,238 and 365,989,157

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Solution

The third proportional to 156,729,238 and 365,989,157 is: 854,646,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729,238 : 365,989,157 = 365,989,157 : x
  2. Step 2: Convert to fraction form
    156,729,238/365,989,157 = 365,989,157/x
  3. Step 3: Cross multiply
    156,729,238x = 365,989,157 × 365,989,157
  4. Step 4: Simplify right side
    156,729,238x = 133,948,063,041,570,656
  5. Step 5: Solve for x
    x = 133,948,063,041,570,656/156,729,238
  6. Step 6: Final answer
    x = 854,646,297.98

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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.