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Finding the Third Proportional to 40,432 and 88,802

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Solution

The third proportional to 40,432 and 88,802 is: 195,038.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,432 : 88,802 = 88,802 : x
  2. Step 2: Convert to fraction form
    40,432/88,802 = 88,802/x
  3. Step 3: Cross multiply
    40,432x = 88,802 × 88,802
  4. Step 4: Simplify right side
    40,432x = 7,885,795,204
  5. Step 5: Solve for x
    x = 7,885,795,204/40,432
  6. Step 6: Final answer
    x = 195,038.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.