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Finding the Third Proportional to 95,366 and 209,402

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Solution

The third proportional to 95,366 and 209,402 is: 459,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,366 : 209,402 = 209,402 : x
  2. Step 2: Convert to fraction form
    95,366/209,402 = 209,402/x
  3. Step 3: Cross multiply
    95,366x = 209,402 × 209,402
  4. Step 4: Simplify right side
    95,366x = 43,849,197,604
  5. Step 5: Solve for x
    x = 43,849,197,604/95,366
  6. Step 6: Final answer
    x = 459,799.06

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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.