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Finding the Third Proportional to 44,648 and 92,200

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Solution

The third proportional to 44,648 and 92,200 is: 190,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,648 : 92,200 = 92,200 : x
  2. Step 2: Convert to fraction form
    44,648/92,200 = 92,200/x
  3. Step 3: Cross multiply
    44,648x = 92,200 × 92,200
  4. Step 4: Simplify right side
    44,648x = 8,500,840,000
  5. Step 5: Solve for x
    x = 8,500,840,000/44,648
  6. Step 6: Final answer
    x = 190,396.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.