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Finding the Third Proportional to 92,216 and 202,096

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Solution

The third proportional to 92,216 and 202,096 is: 442,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,216 : 202,096 = 202,096 : x
  2. Step 2: Convert to fraction form
    92,216/202,096 = 202,096/x
  3. Step 3: Cross multiply
    92,216x = 202,096 × 202,096
  4. Step 4: Simplify right side
    92,216x = 40,842,793,216
  5. Step 5: Solve for x
    x = 40,842,793,216/92,216
  6. Step 6: Final answer
    x = 442,903.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.