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Finding the Third Proportional to 92,896 and 200,696

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Solution

The third proportional to 92,896 and 200,696 is: 433,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,896 : 200,696 = 200,696 : x
  2. Step 2: Convert to fraction form
    92,896/200,696 = 200,696/x
  3. Step 3: Cross multiply
    92,896x = 200,696 × 200,696
  4. Step 4: Simplify right side
    92,896x = 40,278,884,416
  5. Step 5: Solve for x
    x = 40,278,884,416/92,896
  6. Step 6: Final answer
    x = 433,591.16

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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.