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Finding the Third Proportional to 98,104 and 213,280

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Solution

The third proportional to 98,104 and 213,280 is: 463,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,104 : 213,280 = 213,280 : x
  2. Step 2: Convert to fraction form
    98,104/213,280 = 213,280/x
  3. Step 3: Cross multiply
    98,104x = 213,280 × 213,280
  4. Step 4: Simplify right side
    98,104x = 45,488,358,400
  5. Step 5: Solve for x
    x = 45,488,358,400/98,104
  6. Step 6: Final answer
    x = 463,674.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.