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Finding the Third Proportional to 40,903 and 89,210

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Solution

The third proportional to 40,903 and 89,210 is: 194,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,903 : 89,210 = 89,210 : x
  2. Step 2: Convert to fraction form
    40,903/89,210 = 89,210/x
  3. Step 3: Cross multiply
    40,903x = 89,210 × 89,210
  4. Step 4: Simplify right side
    40,903x = 7,958,424,100
  5. Step 5: Solve for x
    x = 7,958,424,100/40,903
  6. Step 6: Final answer
    x = 194,568.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.