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Finding the Third Proportional to 101,868.50 and 224,043

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Solution

The third proportional to 101,868.50 and 224,043 is: 492,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,868.50 : 224,043 = 224,043 : x
  2. Step 2: Convert to fraction form
    101,868.50/224,043 = 224,043/x
  3. Step 3: Cross multiply
    101,868.50x = 224,043 × 224,043
  4. Step 4: Simplify right side
    101,868.50x = 50,195,265,849
  5. Step 5: Solve for x
    x = 50,195,265,849/101,868.50
  6. Step 6: Final answer
    x = 492,745.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.