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Finding the Third Proportional to 95,143 and 209,119

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Solution

The third proportional to 95,143 and 209,119 is: 459,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,143 : 209,119 = 209,119 : x
  2. Step 2: Convert to fraction form
    95,143/209,119 = 209,119/x
  3. Step 3: Cross multiply
    95,143x = 209,119 × 209,119
  4. Step 4: Simplify right side
    95,143x = 43,730,756,161
  5. Step 5: Solve for x
    x = 43,730,756,161/95,143
  6. Step 6: Final answer
    x = 459,631.88

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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.