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Finding the Third Proportional to 96,564 and 209,207

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Solution

The third proportional to 96,564 and 209,207 is: 453,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,564 : 209,207 = 209,207 : x
  2. Step 2: Convert to fraction form
    96,564/209,207 = 209,207/x
  3. Step 3: Cross multiply
    96,564x = 209,207 × 209,207
  4. Step 4: Simplify right side
    96,564x = 43,767,568,849
  5. Step 5: Solve for x
    x = 43,767,568,849/96,564
  6. Step 6: Final answer
    x = 453,249.34

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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.