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Finding the Third Proportional to 40,438 and 88,214

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Solution

The third proportional to 40,438 and 88,214 is: 192,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,438 : 88,214 = 88,214 : x
  2. Step 2: Convert to fraction form
    40,438/88,214 = 88,214/x
  3. Step 3: Cross multiply
    40,438x = 88,214 × 88,214
  4. Step 4: Simplify right side
    40,438x = 7,781,709,796
  5. Step 5: Solve for x
    x = 7,781,709,796/40,438
  6. Step 6: Final answer
    x = 192,435.58

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Why These Related Problems?

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