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Finding the Third Proportional to 95,259.38 and 209,955.38

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Solution

The third proportional to 95,259.38 and 209,955.38 is: 462,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,259.38 : 209,955.38 = 209,955.38 : x
  2. Step 2: Convert to fraction form
    95,259.38/209,955.38 = 209,955.38/x
  3. Step 3: Cross multiply
    95,259.38x = 209,955.38 × 209,955.38
  4. Step 4: Simplify right side
    95,259.38x = 44,081,259,491.39
  5. Step 5: Solve for x
    x = 44,081,259,491.39/95,259.38
  6. Step 6: Final answer
    x = 462,749.83

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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.