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Finding the Third Proportional to 146,135,676 and 321,198,072

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Solution

The third proportional to 146,135,676 and 321,198,072 is: 705,975,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,135,676 : 321,198,072 = 321,198,072 : x
  2. Step 2: Convert to fraction form
    146,135,676/321,198,072 = 321,198,072/x
  3. Step 3: Cross multiply
    146,135,676x = 321,198,072 × 321,198,072
  4. Step 4: Simplify right side
    146,135,676x = 103,168,201,456,517,184
  5. Step 5: Solve for x
    x = 103,168,201,456,517,184/146,135,676
  6. Step 6: Final answer
    x = 705,975,462.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.