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Finding the Third Proportional to 95,330 and 209,332

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Solution

The third proportional to 95,330 and 209,332 is: 459,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,330 : 209,332 = 209,332 : x
  2. Step 2: Convert to fraction form
    95,330/209,332 = 209,332/x
  3. Step 3: Cross multiply
    95,330x = 209,332 × 209,332
  4. Step 4: Simplify right side
    95,330x = 43,819,886,224
  5. Step 5: Solve for x
    x = 43,819,886,224/95,330
  6. Step 6: Final answer
    x = 459,665.23

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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.