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Finding the Third Proportional to 97,321.50 and 166,161.38

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Solution

The third proportional to 97,321.50 and 166,161.38 is: 283,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,321.50 : 166,161.38 = 166,161.38 : x
  2. Step 2: Convert to fraction form
    97,321.50/166,161.38 = 166,161.38/x
  3. Step 3: Cross multiply
    97,321.50x = 166,161.38 × 166,161.38
  4. Step 4: Simplify right side
    97,321.50x = 27,609,602,541.89
  5. Step 5: Solve for x
    x = 27,609,602,541.89/97,321.50
  6. Step 6: Final answer
    x = 283,694.79

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.