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Finding the Third Proportional to 156,729,214 and 365,989,097

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Solution

The third proportional to 156,729,214 and 365,989,097 is: 854,646,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729,214 : 365,989,097 = 365,989,097 : x
  2. Step 2: Convert to fraction form
    156,729,214/365,989,097 = 365,989,097/x
  3. Step 3: Cross multiply
    156,729,214x = 365,989,097 × 365,989,097
  4. Step 4: Simplify right side
    156,729,214x = 133,948,019,122,875,408
  5. Step 5: Solve for x
    x = 133,948,019,122,875,408/156,729,214
  6. Step 6: Final answer
    x = 854,646,148.63

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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.