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Finding the Third Proportional to 41,692 and 89,216

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Solution

The third proportional to 41,692 and 89,216 is: 190,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,692 : 89,216 = 89,216 : x
  2. Step 2: Convert to fraction form
    41,692/89,216 = 89,216/x
  3. Step 3: Cross multiply
    41,692x = 89,216 × 89,216
  4. Step 4: Simplify right side
    41,692x = 7,959,494,656
  5. Step 5: Solve for x
    x = 7,959,494,656/41,692
  6. Step 6: Final answer
    x = 190,911.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.