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Finding the Third Proportional to 89,796.09 and 193,617.84

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Solution

The third proportional to 89,796.09 and 193,617.84 is: 417,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,796.09 : 193,617.84 = 193,617.84 : x
  2. Step 2: Convert to fraction form
    89,796.09/193,617.84 = 193,617.84/x
  3. Step 3: Cross multiply
    89,796.09x = 193,617.84 × 193,617.84
  4. Step 4: Simplify right side
    89,796.09x = 37,487,869,418.40
  5. Step 5: Solve for x
    x = 37,487,869,418.40/89,796.09
  6. Step 6: Final answer
    x = 417,477.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.