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Finding the Third Proportional to 156,725,080.50 and 365,978,705.25

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Solution

The third proportional to 156,725,080.50 and 365,978,705.25 is: 854,620,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,725,080.50 : 365,978,705.25 = 365,978,705.25 : x
  2. Step 2: Convert to fraction form
    156,725,080.50/365,978,705.25 = 365,978,705.25/x
  3. Step 3: Cross multiply
    156,725,080.50x = 365,978,705.25 × 365,978,705.25
  4. Step 4: Simplify right side
    156,725,080.50x = 133,940,412,696,466,384
  5. Step 5: Solve for x
    x = 133,940,412,696,466,384/156,725,080.50
  6. Step 6: Final answer
    x = 854,620,155.68

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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.