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Finding the Third Proportional to 90,705.25 and 198,671.25

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Solution

The third proportional to 90,705.25 and 198,671.25 is: 435,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,705.25 : 198,671.25 = 198,671.25 : x
  2. Step 2: Convert to fraction form
    90,705.25/198,671.25 = 198,671.25/x
  3. Step 3: Cross multiply
    90,705.25x = 198,671.25 × 198,671.25
  4. Step 4: Simplify right side
    90,705.25x = 39,470,265,576.56
  5. Step 5: Solve for x
    x = 39,470,265,576.56/90,705.25
  6. Step 6: Final answer
    x = 435,148.63

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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.