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Finding the Third Proportional to 98,016.75 and 214,709.06

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Solution

The third proportional to 98,016.75 and 214,709.06 is: 470,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,016.75 : 214,709.06 = 214,709.06 : x
  2. Step 2: Convert to fraction form
    98,016.75/214,709.06 = 214,709.06/x
  3. Step 3: Cross multiply
    98,016.75x = 214,709.06 × 214,709.06
  4. Step 4: Simplify right side
    98,016.75x = 46,099,981,519.63
  5. Step 5: Solve for x
    x = 46,099,981,519.63/98,016.75
  6. Step 6: Final answer
    x = 470,327.59

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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.