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Finding the Third Proportional to 45,498 and 99,996

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Solution

The third proportional to 45,498 and 99,996 is: 219,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498 : 99,996 = 99,996 : x
  2. Step 2: Convert to fraction form
    45,498/99,996 = 99,996/x
  3. Step 3: Cross multiply
    45,498x = 99,996 × 99,996
  4. Step 4: Simplify right side
    45,498x = 9,999,200,016
  5. Step 5: Solve for x
    x = 9,999,200,016/45,498
  6. Step 6: Final answer
    x = 219,772.30

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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.