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Finding the Third Proportional to 148,224,176 and 321,964,616

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Solution

The third proportional to 148,224,176 and 321,964,616 is: 699,354,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,224,176 : 321,964,616 = 321,964,616 : x
  2. Step 2: Convert to fraction form
    148,224,176/321,964,616 = 321,964,616/x
  3. Step 3: Cross multiply
    148,224,176x = 321,964,616 × 321,964,616
  4. Step 4: Simplify right side
    148,224,176x = 103,661,213,956,027,456
  5. Step 5: Solve for x
    x = 103,661,213,956,027,456/148,224,176
  6. Step 6: Final answer
    x = 699,354,293.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.