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Finding the Third Proportional to 96,596 and 209,270

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Solution

The third proportional to 96,596 and 209,270 is: 453,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,596 : 209,270 = 209,270 : x
  2. Step 2: Convert to fraction form
    96,596/209,270 = 209,270/x
  3. Step 3: Cross multiply
    96,596x = 209,270 × 209,270
  4. Step 4: Simplify right side
    96,596x = 43,793,932,900
  5. Step 5: Solve for x
    x = 43,793,932,900/96,596
  6. Step 6: Final answer
    x = 453,372.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.