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Finding the Third Proportional to 44,654 and 98,394

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Solution

The third proportional to 44,654 and 98,394 is: 216,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,654 : 98,394 = 98,394 : x
  2. Step 2: Convert to fraction form
    44,654/98,394 = 98,394/x
  3. Step 3: Cross multiply
    44,654x = 98,394 × 98,394
  4. Step 4: Simplify right side
    44,654x = 9,681,379,236
  5. Step 5: Solve for x
    x = 9,681,379,236/44,654
  6. Step 6: Final answer
    x = 216,808.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.