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Finding the Third Proportional to 98,431 and 214,904

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Solution

The third proportional to 98,431 and 214,904 is: 469,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,431 : 214,904 = 214,904 : x
  2. Step 2: Convert to fraction form
    98,431/214,904 = 214,904/x
  3. Step 3: Cross multiply
    98,431x = 214,904 × 214,904
  4. Step 4: Simplify right side
    98,431x = 46,183,729,216
  5. Step 5: Solve for x
    x = 46,183,729,216/98,431
  6. Step 6: Final answer
    x = 469,199.02

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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.