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Finding the Third Proportional to 102,272.63 and 218,760.75

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Solution

The third proportional to 102,272.63 and 218,760.75 is: 467,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,272.63 : 218,760.75 = 218,760.75 : x
  2. Step 2: Convert to fraction form
    102,272.63/218,760.75 = 218,760.75/x
  3. Step 3: Cross multiply
    102,272.63x = 218,760.75 × 218,760.75
  4. Step 4: Simplify right side
    102,272.63x = 47,856,265,740.56
  5. Step 5: Solve for x
    x = 47,856,265,740.56/102,272.63
  6. Step 6: Final answer
    x = 467,928.40

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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.