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Finding the Third Proportional to 50,004.84 and 105,894.84

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Solution

The third proportional to 50,004.84 and 105,894.84 is: 224,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,004.84 : 105,894.84 = 105,894.84 : x
  2. Step 2: Convert to fraction form
    50,004.84/105,894.84 = 105,894.84/x
  3. Step 3: Cross multiply
    50,004.84x = 105,894.84 × 105,894.84
  4. Step 4: Simplify right side
    50,004.84x = 11,213,717,932.84
  5. Step 5: Solve for x
    x = 11,213,717,932.84/50,004.84
  6. Step 6: Final answer
    x = 224,252.63

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.