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Finding the Third Proportional to 80,723,974 and 172,210,906

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Solution

The third proportional to 80,723,974 and 172,210,906 is: 367,382,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,723,974 : 172,210,906 = 172,210,906 : x
  2. Step 2: Convert to fraction form
    80,723,974/172,210,906 = 172,210,906/x
  3. Step 3: Cross multiply
    80,723,974x = 172,210,906 × 172,210,906
  4. Step 4: Simplify right side
    80,723,974x = 29,656,596,145,340,836
  5. Step 5: Solve for x
    x = 29,656,596,145,340,836/80,723,974
  6. Step 6: Final answer
    x = 367,382,757.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.