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Finding the Third Proportional to 50,621.50 and 110,777.50

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Solution

The third proportional to 50,621.50 and 110,777.50 is: 242,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,621.50 : 110,777.50 = 110,777.50 : x
  2. Step 2: Convert to fraction form
    50,621.50/110,777.50 = 110,777.50/x
  3. Step 3: Cross multiply
    50,621.50x = 110,777.50 × 110,777.50
  4. Step 4: Simplify right side
    50,621.50x = 12,271,654,506.25
  5. Step 5: Solve for x
    x = 12,271,654,506.25/50,621.50
  6. Step 6: Final answer
    x = 242,419.81

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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.