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Finding the Third Proportional to 49,414.88 and 106,334.63

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Solution

The third proportional to 49,414.88 and 106,334.63 is: 228,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,414.88 : 106,334.63 = 106,334.63 : x
  2. Step 2: Convert to fraction form
    49,414.88/106,334.63 = 106,334.63/x
  3. Step 3: Cross multiply
    49,414.88x = 106,334.63 × 106,334.63
  4. Step 4: Simplify right side
    49,414.88x = 11,307,052,473.89
  5. Step 5: Solve for x
    x = 11,307,052,473.89/49,414.88
  6. Step 6: Final answer
    x = 228,818.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.