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Finding the Third Proportional to 98,126 and 213,436

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Solution

The third proportional to 98,126 and 213,436 is: 464,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,126 : 213,436 = 213,436 : x
  2. Step 2: Convert to fraction form
    98,126/213,436 = 213,436/x
  3. Step 3: Cross multiply
    98,126x = 213,436 × 213,436
  4. Step 4: Simplify right side
    98,126x = 45,554,926,096
  5. Step 5: Solve for x
    x = 45,554,926,096/98,126
  6. Step 6: Final answer
    x = 464,249.29

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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.