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Finding the Third Proportional to 97,321.50 and 184,467.38

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Solution

The third proportional to 97,321.50 and 184,467.38 is: 349,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,321.50 : 184,467.38 = 184,467.38 : x
  2. Step 2: Convert to fraction form
    97,321.50/184,467.38 = 184,467.38/x
  3. Step 3: Cross multiply
    97,321.50x = 184,467.38 × 184,467.38
  4. Step 4: Simplify right side
    97,321.50x = 34,028,212,439.39
  5. Step 5: Solve for x
    x = 34,028,212,439.39/97,321.50
  6. Step 6: Final answer
    x = 349,647.43

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.