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Finding the Third Proportional to 83,486,356 and 181,794,008

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Solution

The third proportional to 83,486,356 and 181,794,008 is: 395,861,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,486,356 : 181,794,008 = 181,794,008 : x
  2. Step 2: Convert to fraction form
    83,486,356/181,794,008 = 181,794,008/x
  3. Step 3: Cross multiply
    83,486,356x = 181,794,008 × 181,794,008
  4. Step 4: Simplify right side
    83,486,356x = 33,049,061,344,704,064
  5. Step 5: Solve for x
    x = 33,049,061,344,704,064/83,486,356
  6. Step 6: Final answer
    x = 395,861,826.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.