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Finding the Third Proportional to 83,074,210 and 181,809,092

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Solution

The third proportional to 83,074,210 and 181,809,092 is: 397,891,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074,210 : 181,809,092 = 181,809,092 : x
  2. Step 2: Convert to fraction form
    83,074,210/181,809,092 = 181,809,092/x
  3. Step 3: Cross multiply
    83,074,210x = 181,809,092 × 181,809,092
  4. Step 4: Simplify right side
    83,074,210x = 33,054,545,933,864,464
  5. Step 5: Solve for x
    x = 33,054,545,933,864,464/83,074,210
  6. Step 6: Final answer
    x = 397,891,787.76

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