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Finding the Third Proportional to 104,432,976 and 227,446,704

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Solution

The third proportional to 104,432,976 and 227,446,704 is: 495,360,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,432,976 : 227,446,704 = 227,446,704 : x
  2. Step 2: Convert to fraction form
    104,432,976/227,446,704 = 227,446,704/x
  3. Step 3: Cross multiply
    104,432,976x = 227,446,704 × 227,446,704
  4. Step 4: Simplify right side
    104,432,976x = 51,732,003,160,463,616
  5. Step 5: Solve for x
    x = 51,732,003,160,463,616/104,432,976
  6. Step 6: Final answer
    x = 495,360,805.96

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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.