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Finding the Third Proportional to 95,141.81 and 209,116.13

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Solution

The third proportional to 95,141.81 and 209,116.13 is: 459,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,141.81 : 209,116.13 = 209,116.13 : x
  2. Step 2: Convert to fraction form
    95,141.81/209,116.13 = 209,116.13/x
  3. Step 3: Cross multiply
    95,141.81x = 209,116.13 × 209,116.13
  4. Step 4: Simplify right side
    95,141.81x = 43,729,553,735.02
  5. Step 5: Solve for x
    x = 43,729,553,735.02/95,141.81
  6. Step 6: Final answer
    x = 459,624.98

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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.