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Finding the Third Proportional to 169,020,965 and 366,951,109

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Solution

The third proportional to 169,020,965 and 366,951,109 is: 796,665,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,020,965 : 366,951,109 = 366,951,109 : x
  2. Step 2: Convert to fraction form
    169,020,965/366,951,109 = 366,951,109/x
  3. Step 3: Cross multiply
    169,020,965x = 366,951,109 × 366,951,109
  4. Step 4: Simplify right side
    169,020,965x = 134,653,116,396,329,888
  5. Step 5: Solve for x
    x = 134,653,116,396,329,888/169,020,965
  6. Step 6: Final answer
    x = 796,665,173.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.