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Finding the Third Proportional to 136,876,162 and 285,074,396

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Solution

The third proportional to 136,876,162 and 285,074,396 is: 593,729,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,876,162 : 285,074,396 = 285,074,396 : x
  2. Step 2: Convert to fraction form
    136,876,162/285,074,396 = 285,074,396/x
  3. Step 3: Cross multiply
    136,876,162x = 285,074,396 × 285,074,396
  4. Step 4: Simplify right side
    136,876,162x = 81,267,411,254,764,816
  5. Step 5: Solve for x
    x = 81,267,411,254,764,816/136,876,162
  6. Step 6: Final answer
    x = 593,729,470.99

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.