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Finding the Third Proportional to 96,235 and 209,938

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Solution

The third proportional to 96,235 and 209,938 is: 457,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,235 : 209,938 = 209,938 : x
  2. Step 2: Convert to fraction form
    96,235/209,938 = 209,938/x
  3. Step 3: Cross multiply
    96,235x = 209,938 × 209,938
  4. Step 4: Simplify right side
    96,235x = 44,073,963,844
  5. Step 5: Solve for x
    x = 44,073,963,844/96,235
  6. Step 6: Final answer
    x = 457,982.69

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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.