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Finding the Third Proportional to 50,003.63 and 109,347.38

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Solution

The third proportional to 50,003.63 and 109,347.38 is: 239,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,003.63 : 109,347.38 = 109,347.38 : x
  2. Step 2: Convert to fraction form
    50,003.63/109,347.38 = 109,347.38/x
  3. Step 3: Cross multiply
    50,003.63x = 109,347.38 × 109,347.38
  4. Step 4: Simplify right side
    50,003.63x = 11,956,848,419.39
  5. Step 5: Solve for x
    x = 11,956,848,419.39/50,003.63
  6. Step 6: Final answer
    x = 239,119.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.