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Finding the Third Proportional to 99,573 and 214,992.75

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Solution

The third proportional to 99,573 and 214,992.75 is: 464,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,573 : 214,992.75 = 214,992.75 : x
  2. Step 2: Convert to fraction form
    99,573/214,992.75 = 214,992.75/x
  3. Step 3: Cross multiply
    99,573x = 214,992.75 × 214,992.75
  4. Step 4: Simplify right side
    99,573x = 46,221,882,552.56
  5. Step 5: Solve for x
    x = 46,221,882,552.56/99,573
  6. Step 6: Final answer
    x = 464,200.96

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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.