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Finding the Third Proportional to 43,098 and 92,996

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Solution

The third proportional to 43,098 and 92,996 is: 200,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098 : 92,996 = 92,996 : x
  2. Step 2: Convert to fraction form
    43,098/92,996 = 92,996/x
  3. Step 3: Cross multiply
    43,098x = 92,996 × 92,996
  4. Step 4: Simplify right side
    43,098x = 8,648,256,016
  5. Step 5: Solve for x
    x = 8,648,256,016/43,098
  6. Step 6: Final answer
    x = 200,664.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.