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Finding the Third Proportional to 97,321.50 and 211,167

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Solution

The third proportional to 97,321.50 and 211,167 is: 458,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,321.50 : 211,167 = 211,167 : x
  2. Step 2: Convert to fraction form
    97,321.50/211,167 = 211,167/x
  3. Step 3: Cross multiply
    97,321.50x = 211,167 × 211,167
  4. Step 4: Simplify right side
    97,321.50x = 44,591,501,889
  5. Step 5: Solve for x
    x = 44,591,501,889/97,321.50
  6. Step 6: Final answer
    x = 458,187.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.