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Finding the Third Proportional to 97,801.31 and 167,193.56

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Solution

The third proportional to 97,801.31 and 167,193.56 is: 285,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,801.31 : 167,193.56 = 167,193.56 : x
  2. Step 2: Convert to fraction form
    97,801.31/167,193.56 = 167,193.56/x
  3. Step 3: Cross multiply
    97,801.31x = 167,193.56 × 167,193.56
  4. Step 4: Simplify right side
    97,801.31x = 27,953,687,341.44
  5. Step 5: Solve for x
    x = 27,953,687,341.44/97,801.31
  6. Step 6: Final answer
    x = 285,821.19

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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.