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Finding the Third Proportional to 92,634.75 and 202,218.75

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Solution

The third proportional to 92,634.75 and 202,218.75 is: 441,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,634.75 : 202,218.75 = 202,218.75 : x
  2. Step 2: Convert to fraction form
    92,634.75/202,218.75 = 202,218.75/x
  3. Step 3: Cross multiply
    92,634.75x = 202,218.75 × 202,218.75
  4. Step 4: Simplify right side
    92,634.75x = 40,892,422,851.56
  5. Step 5: Solve for x
    x = 40,892,422,851.56/92,634.75
  6. Step 6: Final answer
    x = 441,437.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.