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Finding the Third Proportional to 40,212 and 88,355

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Solution

The third proportional to 40,212 and 88,355 is: 194,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,212 : 88,355 = 88,355 : x
  2. Step 2: Convert to fraction form
    40,212/88,355 = 88,355/x
  3. Step 3: Cross multiply
    40,212x = 88,355 × 88,355
  4. Step 4: Simplify right side
    40,212x = 7,806,606,025
  5. Step 5: Solve for x
    x = 7,806,606,025/40,212
  6. Step 6: Final answer
    x = 194,136.23

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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.