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Finding the Third Proportional to 80,965,866 and 176,307,609

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Solution

The third proportional to 80,965,866 and 176,307,609 is: 383,919,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,965,866 : 176,307,609 = 176,307,609 : x
  2. Step 2: Convert to fraction form
    80,965,866/176,307,609 = 176,307,609/x
  3. Step 3: Cross multiply
    80,965,866x = 176,307,609 × 176,307,609
  4. Step 4: Simplify right side
    80,965,866x = 31,084,372,991,296,880
  5. Step 5: Solve for x
    x = 31,084,372,991,296,880/80,965,866
  6. Step 6: Final answer
    x = 383,919,477.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.