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Finding the Third Proportional to 89,548.50 and 193,857

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Solution

The third proportional to 89,548.50 and 193,857 is: 419,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,548.50 : 193,857 = 193,857 : x
  2. Step 2: Convert to fraction form
    89,548.50/193,857 = 193,857/x
  3. Step 3: Cross multiply
    89,548.50x = 193,857 × 193,857
  4. Step 4: Simplify right side
    89,548.50x = 37,580,536,449
  5. Step 5: Solve for x
    x = 37,580,536,449/89,548.50
  6. Step 6: Final answer
    x = 419,666.84

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