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Finding the Third Proportional to 49,086.56 and 105,895.13

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Solution

The third proportional to 49,086.56 and 105,895.13 is: 228,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,086.56 : 105,895.13 = 105,895.13 : x
  2. Step 2: Convert to fraction form
    49,086.56/105,895.13 = 105,895.13/x
  3. Step 3: Cross multiply
    49,086.56x = 105,895.13 × 105,895.13
  4. Step 4: Simplify right side
    49,086.56x = 11,213,777,498.77
  5. Step 5: Solve for x
    x = 11,213,777,498.77/49,086.56
  6. Step 6: Final answer
    x = 228,449.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.