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Finding the Third Proportional to 50,634.50 and 110,804.50

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Solution

The third proportional to 50,634.50 and 110,804.50 is: 242,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,634.50 : 110,804.50 = 110,804.50 : x
  2. Step 2: Convert to fraction form
    50,634.50/110,804.50 = 110,804.50/x
  3. Step 3: Cross multiply
    50,634.50x = 110,804.50 × 110,804.50
  4. Step 4: Simplify right side
    50,634.50x = 12,277,637,220.25
  5. Step 5: Solve for x
    x = 12,277,637,220.25/50,634.50
  6. Step 6: Final answer
    x = 242,475.73

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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.