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Finding the Third Proportional to 102,037.22 and 218,836.69

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Solution

The third proportional to 102,037.22 and 218,836.69 is: 469,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,037.22 : 218,836.69 = 218,836.69 : x
  2. Step 2: Convert to fraction form
    102,037.22/218,836.69 = 218,836.69/x
  3. Step 3: Cross multiply
    102,037.22x = 218,836.69 × 218,836.69
  4. Step 4: Simplify right side
    102,037.22x = 47,889,495,795.97
  5. Step 5: Solve for x
    x = 47,889,495,795.97/102,037.22
  6. Step 6: Final answer
    x = 469,333.61

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Why These Related Problems?

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