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Finding the Third Proportional to 156,729,174 and 365,988,997

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Solution

The third proportional to 156,729,174 and 365,988,997 is: 854,645,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729,174 : 365,988,997 = 365,988,997 : x
  2. Step 2: Convert to fraction form
    156,729,174/365,988,997 = 365,988,997/x
  3. Step 3: Cross multiply
    156,729,174x = 365,988,997 × 365,988,997
  4. Step 4: Simplify right side
    156,729,174x = 133,947,945,925,066,016
  5. Step 5: Solve for x
    x = 133,947,945,925,066,016/156,729,174
  6. Step 6: Final answer
    x = 854,645,899.72

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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.