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Finding the Third Proportional to 132,161.63 and 197,665.31

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Solution

The third proportional to 132,161.63 and 197,665.31 is: 295,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,161.63 : 197,665.31 = 197,665.31 : x
  2. Step 2: Convert to fraction form
    132,161.63/197,665.31 = 197,665.31/x
  3. Step 3: Cross multiply
    132,161.63x = 197,665.31 × 197,665.31
  4. Step 4: Simplify right side
    132,161.63x = 39,071,575,765.72
  5. Step 5: Solve for x
    x = 39,071,575,765.72/132,161.63
  6. Step 6: Final answer
    x = 295,634.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.