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Finding the Third Proportional to 89,021 and 193,432

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Solution

The third proportional to 89,021 and 193,432 is: 420,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,021 : 193,432 = 193,432 : x
  2. Step 2: Convert to fraction form
    89,021/193,432 = 193,432/x
  3. Step 3: Cross multiply
    89,021x = 193,432 × 193,432
  4. Step 4: Simplify right side
    89,021x = 37,415,938,624
  5. Step 5: Solve for x
    x = 37,415,938,624/89,021
  6. Step 6: Final answer
    x = 420,304.63

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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.