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Finding the Third Proportional to 171,863,760 and 351,669,612

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Solution

The third proportional to 171,863,760 and 351,669,612 is: 719,590,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,863,760 : 351,669,612 = 351,669,612 : x
  2. Step 2: Convert to fraction form
    171,863,760/351,669,612 = 351,669,612/x
  3. Step 3: Cross multiply
    171,863,760x = 351,669,612 × 351,669,612
  4. Step 4: Simplify right side
    171,863,760x = 123,671,516,004,230,544
  5. Step 5: Solve for x
    x = 123,671,516,004,230,544/171,863,760
  6. Step 6: Final answer
    x = 719,590,424.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.