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Finding the Third Proportional to 81,817,157 and 181,795,525

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Solution

The third proportional to 81,817,157 and 181,795,525 is: 403,944,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,817,157 : 181,795,525 = 181,795,525 : x
  2. Step 2: Convert to fraction form
    81,817,157/181,795,525 = 181,795,525/x
  3. Step 3: Cross multiply
    81,817,157x = 181,795,525 × 181,795,525
  4. Step 4: Simplify right side
    81,817,157x = 33,049,612,910,025,624
  5. Step 5: Solve for x
    x = 33,049,612,910,025,624/81,817,157
  6. Step 6: Final answer
    x = 403,944,772.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.