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Finding the Third Proportional to 98,214 and 214,420

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Solution

The third proportional to 98,214 and 214,420 is: 468,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,214 : 214,420 = 214,420 : x
  2. Step 2: Convert to fraction form
    98,214/214,420 = 214,420/x
  3. Step 3: Cross multiply
    98,214x = 214,420 × 214,420
  4. Step 4: Simplify right side
    98,214x = 45,975,936,400
  5. Step 5: Solve for x
    x = 45,975,936,400/98,214
  6. Step 6: Final answer
    x = 468,119.99

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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.