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Finding the Third Proportional to 95,321.81 and 207,243.56

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Solution

The third proportional to 95,321.81 and 207,243.56 is: 450,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,321.81 : 207,243.56 = 207,243.56 : x
  2. Step 2: Convert to fraction form
    95,321.81/207,243.56 = 207,243.56/x
  3. Step 3: Cross multiply
    95,321.81x = 207,243.56 × 207,243.56
  4. Step 4: Simplify right side
    95,321.81x = 42,949,894,197.69
  5. Step 5: Solve for x
    x = 42,949,894,197.69/95,321.81
  6. Step 6: Final answer
    x = 450,577.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.