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Finding the Third Proportional to 41,447 and 90,229

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Solution

The third proportional to 41,447 and 90,229 is: 196,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,447 : 90,229 = 90,229 : x
  2. Step 2: Convert to fraction form
    41,447/90,229 = 90,229/x
  3. Step 3: Cross multiply
    41,447x = 90,229 × 90,229
  4. Step 4: Simplify right side
    41,447x = 8,141,272,441
  5. Step 5: Solve for x
    x = 8,141,272,441/41,447
  6. Step 6: Final answer
    x = 196,426.10

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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.