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Finding the Third Proportional to 98,436 and 214,104

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Solution

The third proportional to 98,436 and 214,104 is: 465,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,436 : 214,104 = 214,104 : x
  2. Step 2: Convert to fraction form
    98,436/214,104 = 214,104/x
  3. Step 3: Cross multiply
    98,436x = 214,104 × 214,104
  4. Step 4: Simplify right side
    98,436x = 45,840,522,816
  5. Step 5: Solve for x
    x = 45,840,522,816/98,436
  6. Step 6: Final answer
    x = 465,688.60

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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.