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Finding the Third Proportional to 40,893 and 88,231

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Solution

The third proportional to 40,893 and 88,231 is: 190,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,893 : 88,231 = 88,231 : x
  2. Step 2: Convert to fraction form
    40,893/88,231 = 88,231/x
  3. Step 3: Cross multiply
    40,893x = 88,231 × 88,231
  4. Step 4: Simplify right side
    40,893x = 7,784,709,361
  5. Step 5: Solve for x
    x = 7,784,709,361/40,893
  6. Step 6: Final answer
    x = 190,367.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.