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Finding the Third Proportional to 96,238 and 209,946

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Solution

The third proportional to 96,238 and 209,946 is: 458,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,238 : 209,946 = 209,946 : x
  2. Step 2: Convert to fraction form
    96,238/209,946 = 209,946/x
  3. Step 3: Cross multiply
    96,238x = 209,946 × 209,946
  4. Step 4: Simplify right side
    96,238x = 44,077,322,916
  5. Step 5: Solve for x
    x = 44,077,322,916/96,238
  6. Step 6: Final answer
    x = 458,003.31

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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.