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Finding the Third Proportional to 89,696 and 190,324

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Solution

The third proportional to 89,696 and 190,324 is: 403,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,696 : 190,324 = 190,324 : x
  2. Step 2: Convert to fraction form
    89,696/190,324 = 190,324/x
  3. Step 3: Cross multiply
    89,696x = 190,324 × 190,324
  4. Step 4: Simplify right side
    89,696x = 36,223,224,976
  5. Step 5: Solve for x
    x = 36,223,224,976/89,696
  6. Step 6: Final answer
    x = 403,844.37

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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.