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Finding the Third Proportional to 98,179.59 and 212,025.09

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Solution

The third proportional to 98,179.59 and 212,025.09 is: 457,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,179.59 : 212,025.09 = 212,025.09 : x
  2. Step 2: Convert to fraction form
    98,179.59/212,025.09 = 212,025.09/x
  3. Step 3: Cross multiply
    98,179.59x = 212,025.09 × 212,025.09
  4. Step 4: Simplify right side
    98,179.59x = 44,954,640,379.70
  5. Step 5: Solve for x
    x = 44,954,640,379.70/98,179.59
  6. Step 6: Final answer
    x = 457,881.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.