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Finding the Third Proportional to 96,056 and 210,795

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Solution

The third proportional to 96,056 and 210,795 is: 462,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,056 : 210,795 = 210,795 : x
  2. Step 2: Convert to fraction form
    96,056/210,795 = 210,795/x
  3. Step 3: Cross multiply
    96,056x = 210,795 × 210,795
  4. Step 4: Simplify right side
    96,056x = 44,434,532,025
  5. Step 5: Solve for x
    x = 44,434,532,025/96,056
  6. Step 6: Final answer
    x = 462,589.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.