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Finding the Third Proportional to 80,723,966 and 172,210,888

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Solution

The third proportional to 80,723,966 and 172,210,888 is: 367,382,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,723,966 : 172,210,888 = 172,210,888 : x
  2. Step 2: Convert to fraction form
    80,723,966/172,210,888 = 172,210,888/x
  3. Step 3: Cross multiply
    80,723,966x = 172,210,888 × 172,210,888
  4. Step 4: Simplify right side
    80,723,966x = 29,656,589,945,748,544
  5. Step 5: Solve for x
    x = 29,656,589,945,748,544/80,723,966
  6. Step 6: Final answer
    x = 367,382,716.87

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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.