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Finding the Third Proportional to 104,154.50 and 223,071.25

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Solution

The third proportional to 104,154.50 and 223,071.25 is: 477,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,154.50 : 223,071.25 = 223,071.25 : x
  2. Step 2: Convert to fraction form
    104,154.50/223,071.25 = 223,071.25/x
  3. Step 3: Cross multiply
    104,154.50x = 223,071.25 × 223,071.25
  4. Step 4: Simplify right side
    104,154.50x = 49,760,782,576.56
  5. Step 5: Solve for x
    x = 49,760,782,576.56/104,154.50
  6. Step 6: Final answer
    x = 477,759.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.