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Finding the Third Proportional to 50,746.50 and 109,614.94

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Solution

The third proportional to 50,746.50 and 109,614.94 is: 236,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,746.50 : 109,614.94 = 109,614.94 : x
  2. Step 2: Convert to fraction form
    50,746.50/109,614.94 = 109,614.94/x
  3. Step 3: Cross multiply
    50,746.50x = 109,614.94 × 109,614.94
  4. Step 4: Simplify right side
    50,746.50x = 12,015,434,523.13
  5. Step 5: Solve for x
    x = 12,015,434,523.13/50,746.50
  6. Step 6: Final answer
    x = 236,773.66

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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.