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Finding the Third Proportional to 156,729,178 and 365,989,007

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Solution

The third proportional to 156,729,178 and 365,989,007 is: 854,645,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729,178 : 365,989,007 = 365,989,007 : x
  2. Step 2: Convert to fraction form
    156,729,178/365,989,007 = 365,989,007/x
  3. Step 3: Cross multiply
    156,729,178x = 365,989,007 × 365,989,007
  4. Step 4: Simplify right side
    156,729,178x = 133,947,953,244,846,048
  5. Step 5: Solve for x
    x = 133,947,953,244,846,048/156,729,178
  6. Step 6: Final answer
    x = 854,645,924.61

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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.