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Finding the Third Proportional to 89,079,839 and 186,304,471

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Solution

The third proportional to 89,079,839 and 186,304,471 is: 389,643,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,079,839 : 186,304,471 = 186,304,471 : x
  2. Step 2: Convert to fraction form
    89,079,839/186,304,471 = 186,304,471/x
  3. Step 3: Cross multiply
    89,079,839x = 186,304,471 × 186,304,471
  4. Step 4: Simplify right side
    89,079,839x = 34,709,355,914,589,840
  5. Step 5: Solve for x
    x = 34,709,355,914,589,840/89,079,839
  6. Step 6: Final answer
    x = 389,643,226.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.