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Finding the Third Proportional to 43,885.13 and 92,998.13

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Solution

The third proportional to 43,885.13 and 92,998.13 is: 197,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,885.13 : 92,998.13 = 92,998.13 : x
  2. Step 2: Convert to fraction form
    43,885.13/92,998.13 = 92,998.13/x
  3. Step 3: Cross multiply
    43,885.13x = 92,998.13 × 92,998.13
  4. Step 4: Simplify right side
    43,885.13x = 8,648,651,253.52
  5. Step 5: Solve for x
    x = 8,648,651,253.52/43,885.13
  6. Step 6: Final answer
    x = 197,074.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.