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Finding the Third Proportional to 50,301 and 109,947.38

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Solution

The third proportional to 50,301 and 109,947.38 is: 240,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,301 : 109,947.38 = 109,947.38 : x
  2. Step 2: Convert to fraction form
    50,301/109,947.38 = 109,947.38/x
  3. Step 3: Cross multiply
    50,301x = 109,947.38 × 109,947.38
  4. Step 4: Simplify right side
    50,301x = 12,088,425,269.39
  5. Step 5: Solve for x
    x = 12,088,425,269.39/50,301
  6. Step 6: Final answer
    x = 240,321.77

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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.