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Finding the Third Proportional to 95,018.50 and 206,576

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Solution

The third proportional to 95,018.50 and 206,576 is: 449,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,018.50 : 206,576 = 206,576 : x
  2. Step 2: Convert to fraction form
    95,018.50/206,576 = 206,576/x
  3. Step 3: Cross multiply
    95,018.50x = 206,576 × 206,576
  4. Step 4: Simplify right side
    95,018.50x = 42,673,643,776
  5. Step 5: Solve for x
    x = 42,673,643,776/95,018.50
  6. Step 6: Final answer
    x = 449,108.79

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