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Finding the Third Proportional to 88,008.19 and 132,433.31

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Solution

The third proportional to 88,008.19 and 132,433.31 is: 199,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,008.19 : 132,433.31 = 132,433.31 : x
  2. Step 2: Convert to fraction form
    88,008.19/132,433.31 = 132,433.31/x
  3. Step 3: Cross multiply
    88,008.19x = 132,433.31 × 132,433.31
  4. Step 4: Simplify right side
    88,008.19x = 17,538,582,259.72
  5. Step 5: Solve for x
    x = 17,538,582,259.72/88,008.19
  6. Step 6: Final answer
    x = 199,283.53

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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.