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Finding the Third Proportional to 179,365,800 and 256,493,400

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Solution

The third proportional to 179,365,800 and 256,493,400 is: 366,785,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,365,800 : 256,493,400 = 256,493,400 : x
  2. Step 2: Convert to fraction form
    179,365,800/256,493,400 = 256,493,400/x
  3. Step 3: Cross multiply
    179,365,800x = 256,493,400 × 256,493,400
  4. Step 4: Simplify right side
    179,365,800x = 65,788,864,243,560,000
  5. Step 5: Solve for x
    x = 65,788,864,243,560,000/179,365,800
  6. Step 6: Final answer
    x = 366,785,999.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.