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Finding the Third Proportional to 43,196 and 94,394

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Solution

The third proportional to 43,196 and 94,394 is: 206,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,196 : 94,394 = 94,394 : x
  2. Step 2: Convert to fraction form
    43,196/94,394 = 94,394/x
  3. Step 3: Cross multiply
    43,196x = 94,394 × 94,394
  4. Step 4: Simplify right side
    43,196x = 8,910,227,236
  5. Step 5: Solve for x
    x = 8,910,227,236/43,196
  6. Step 6: Final answer
    x = 206,274.36

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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.