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Finding the Third Proportional to 106,418.81 and 221,851.41

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Solution

The third proportional to 106,418.81 and 221,851.41 is: 462,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,418.81 : 221,851.41 = 221,851.41 : x
  2. Step 2: Convert to fraction form
    106,418.81/221,851.41 = 221,851.41/x
  3. Step 3: Cross multiply
    106,418.81x = 221,851.41 × 221,851.41
  4. Step 4: Simplify right side
    106,418.81x = 49,218,046,455.10
  5. Step 5: Solve for x
    x = 49,218,046,455.10/106,418.81
  6. Step 6: Final answer
    x = 462,493.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.