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Finding the Third Proportional to 102,718,743,161 and 208,325,703,826

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Solution

The third proportional to 102,718,743,161 and 208,325,703,826 is: 422,509,052,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,718,743,161 : 208,325,703,826 = 208,325,703,826 : x
  2. Step 2: Convert to fraction form
    102,718,743,161/208,325,703,826 = 208,325,703,826/x
  3. Step 3: Cross multiply
    102,718,743,161x = 208,325,703,826 × 208,325,703,826
  4. Step 4: Simplify right side
    102,718,743,161x = 43,399,598,874,598,267,944,960
  5. Step 5: Solve for x
    x = 43,399,598,874,598,267,944,960/102,718,743,161
  6. Step 6: Final answer
    x = 422,509,052,769.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.