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Finding the Third Proportional to 82,150,998.61 and 117,468,297.77

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Solution

The third proportional to 82,150,998.61 and 117,468,297.77 is: 167,968,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,150,998.61 : 117,468,297.77 = 117,468,297.77 : x
  2. Step 2: Convert to fraction form
    82,150,998.61/117,468,297.77 = 117,468,297.77/x
  3. Step 3: Cross multiply
    82,150,998.61x = 117,468,297.77 × 117,468,297.77
  4. Step 4: Simplify right side
    82,150,998.61x = 13,798,800,981,789,570
  5. Step 5: Solve for x
    x = 13,798,800,981,789,570/82,150,998.61
  6. Step 6: Final answer
    x = 167,968,755.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.