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Finding the Third Proportional to 50,478.19 and 109,314.56

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Solution

The third proportional to 50,478.19 and 109,314.56 is: 236,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478.19 : 109,314.56 = 109,314.56 : x
  2. Step 2: Convert to fraction form
    50,478.19/109,314.56 = 109,314.56/x
  3. Step 3: Cross multiply
    50,478.19x = 109,314.56 × 109,314.56
  4. Step 4: Simplify right side
    50,478.19x = 11,949,673,574.57
  5. Step 5: Solve for x
    x = 11,949,673,574.57/50,478.19
  6. Step 6: Final answer
    x = 236,729.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.