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Finding the Third Proportional to 75,880,193 and 166,508,530

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Solution

The third proportional to 75,880,193 and 166,508,530 is: 365,379,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,880,193 : 166,508,530 = 166,508,530 : x
  2. Step 2: Convert to fraction form
    75,880,193/166,508,530 = 166,508,530/x
  3. Step 3: Cross multiply
    75,880,193x = 166,508,530 × 166,508,530
  4. Step 4: Simplify right side
    75,880,193x = 27,725,090,562,760,900
  5. Step 5: Solve for x
    x = 27,725,090,562,760,900/75,880,193
  6. Step 6: Final answer
    x = 365,379,810.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.