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Finding the Third Proportional to 80,723,967 and 172,210,893

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Solution

The third proportional to 80,723,967 and 172,210,893 is: 367,382,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,723,967 : 172,210,893 = 172,210,893 : x
  2. Step 2: Convert to fraction form
    80,723,967/172,210,893 = 172,210,893/x
  3. Step 3: Cross multiply
    80,723,967x = 172,210,893 × 172,210,893
  4. Step 4: Simplify right side
    80,723,967x = 29,656,591,667,857,448
  5. Step 5: Solve for x
    x = 29,656,591,667,857,448/80,723,967
  6. Step 6: Final answer
    x = 367,382,733.65

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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.