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Finding the Third Proportional to 101,891.50 and 223,466.50

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Solution

The third proportional to 101,891.50 and 223,466.50 is: 490,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,891.50 : 223,466.50 = 223,466.50 : x
  2. Step 2: Convert to fraction form
    101,891.50/223,466.50 = 223,466.50/x
  3. Step 3: Cross multiply
    101,891.50x = 223,466.50 × 223,466.50
  4. Step 4: Simplify right side
    101,891.50x = 49,937,276,622.25
  5. Step 5: Solve for x
    x = 49,937,276,622.25/101,891.50
  6. Step 6: Final answer
    x = 490,102.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.