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Finding the Third Proportional to 92,134.13 and 200,944.13

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Solution

The third proportional to 92,134.13 and 200,944.13 is: 438,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,134.13 : 200,944.13 = 200,944.13 : x
  2. Step 2: Convert to fraction form
    92,134.13/200,944.13 = 200,944.13/x
  3. Step 3: Cross multiply
    92,134.13x = 200,944.13 × 200,944.13
  4. Step 4: Simplify right side
    92,134.13x = 40,378,541,372.02
  5. Step 5: Solve for x
    x = 40,378,541,372.02/92,134.13
  6. Step 6: Final answer
    x = 438,258.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.