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Finding the Third Proportional to 89,885.50 and 193,787

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Solution

The third proportional to 89,885.50 and 193,787 is: 417,791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,885.50 : 193,787 = 193,787 : x
  2. Step 2: Convert to fraction form
    89,885.50/193,787 = 193,787/x
  3. Step 3: Cross multiply
    89,885.50x = 193,787 × 193,787
  4. Step 4: Simplify right side
    89,885.50x = 37,553,401,369
  5. Step 5: Solve for x
    x = 37,553,401,369/89,885.50
  6. Step 6: Final answer
    x = 417,791.54

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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.