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Finding the Third Proportional to 50,653.41 and 110,225.81

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Solution

The third proportional to 50,653.41 and 110,225.81 is: 239,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.41 : 110,225.81 = 110,225.81 : x
  2. Step 2: Convert to fraction form
    50,653.41/110,225.81 = 110,225.81/x
  3. Step 3: Cross multiply
    50,653.41x = 110,225.81 × 110,225.81
  4. Step 4: Simplify right side
    50,653.41x = 12,149,729,741.29
  5. Step 5: Solve for x
    x = 12,149,729,741.29/50,653.41
  6. Step 6: Final answer
    x = 239,860.07

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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.