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Finding the Third Proportional to 98,471 and 214,987

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Solution

The third proportional to 98,471 and 214,987 is: 469,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,471 : 214,987 = 214,987 : x
  2. Step 2: Convert to fraction form
    98,471/214,987 = 214,987/x
  3. Step 3: Cross multiply
    98,471x = 214,987 × 214,987
  4. Step 4: Simplify right side
    98,471x = 46,219,410,169
  5. Step 5: Solve for x
    x = 46,219,410,169/98,471
  6. Step 6: Final answer
    x = 469,370.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.