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Finding the Third Proportional to 98,218 and 214,427

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Solution

The third proportional to 98,218 and 214,427 is: 468,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,218 : 214,427 = 214,427 : x
  2. Step 2: Convert to fraction form
    98,218/214,427 = 214,427/x
  3. Step 3: Cross multiply
    98,218x = 214,427 × 214,427
  4. Step 4: Simplify right side
    98,218x = 45,978,938,329
  5. Step 5: Solve for x
    x = 45,978,938,329/98,218
  6. Step 6: Final answer
    x = 468,131.49

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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.