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Finding the Third Proportional to 98,173.69 and 212,012.44

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Solution

The third proportional to 98,173.69 and 212,012.44 is: 457,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,173.69 : 212,012.44 = 212,012.44 : x
  2. Step 2: Convert to fraction form
    98,173.69/212,012.44 = 212,012.44/x
  3. Step 3: Cross multiply
    98,173.69x = 212,012.44 × 212,012.44
  4. Step 4: Simplify right side
    98,173.69x = 44,949,273,654.69
  5. Step 5: Solve for x
    x = 44,949,273,654.69/98,173.69
  6. Step 6: Final answer
    x = 457,854.59

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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.