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Finding the Third Proportional to 40,913 and 89,218

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Solution

The third proportional to 40,913 and 89,218 is: 194,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,913 : 89,218 = 89,218 : x
  2. Step 2: Convert to fraction form
    40,913/89,218 = 89,218/x
  3. Step 3: Cross multiply
    40,913x = 89,218 × 89,218
  4. Step 4: Simplify right side
    40,913x = 7,959,851,524
  5. Step 5: Solve for x
    x = 7,959,851,524/40,913
  6. Step 6: Final answer
    x = 194,555.56

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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.