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Finding the Third Proportional to 156,725,079.75 and 365,978,703.38

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Solution

The third proportional to 156,725,079.75 and 365,978,703.38 is: 854,620,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,725,079.75 : 365,978,703.38 = 365,978,703.38 : x
  2. Step 2: Convert to fraction form
    156,725,079.75/365,978,703.38 = 365,978,703.38/x
  3. Step 3: Cross multiply
    156,725,079.75x = 365,978,703.38 × 365,978,703.38
  4. Step 4: Simplify right side
    156,725,079.75x = 133,940,411,324,046,240
  5. Step 5: Solve for x
    x = 133,940,411,324,046,240/156,725,079.75
  6. Step 6: Final answer
    x = 854,620,151.02

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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.