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Finding the Third Proportional to 83,082,082 and 181,799,755.75

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Solution

The third proportional to 83,082,082 and 181,799,755.75 is: 397,813,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082,082 : 181,799,755.75 = 181,799,755.75 : x
  2. Step 2: Convert to fraction form
    83,082,082/181,799,755.75 = 181,799,755.75/x
  3. Step 3: Cross multiply
    83,082,082x = 181,799,755.75 × 181,799,755.75
  4. Step 4: Simplify right side
    83,082,082x = 33,051,151,190,759,660
  5. Step 5: Solve for x
    x = 33,051,151,190,759,660/83,082,082
  6. Step 6: Final answer
    x = 397,813,227.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.