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Finding the Third Proportional to 95,256 and 209,313

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Solution

The third proportional to 95,256 and 209,313 is: 459,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,256 : 209,313 = 209,313 : x
  2. Step 2: Convert to fraction form
    95,256/209,313 = 209,313/x
  3. Step 3: Cross multiply
    95,256x = 209,313 × 209,313
  4. Step 4: Simplify right side
    95,256x = 43,811,931,969
  5. Step 5: Solve for x
    x = 43,811,931,969/95,256
  6. Step 6: Final answer
    x = 459,938.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.