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Finding the Third Proportional to 40,596.19 and 88,102.69

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Solution

The third proportional to 40,596.19 and 88,102.69 is: 191,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,596.19 : 88,102.69 = 88,102.69 : x
  2. Step 2: Convert to fraction form
    40,596.19/88,102.69 = 88,102.69/x
  3. Step 3: Cross multiply
    40,596.19x = 88,102.69 × 88,102.69
  4. Step 4: Simplify right side
    40,596.19x = 7,762,083,544.72
  5. Step 5: Solve for x
    x = 7,762,083,544.72/40,596.19
  6. Step 6: Final answer
    x = 191,202.28

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