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Finding the Third Proportional to 89,981 and 196,912

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Solution

The third proportional to 89,981 and 196,912 is: 430,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,981 : 196,912 = 196,912 : x
  2. Step 2: Convert to fraction form
    89,981/196,912 = 196,912/x
  3. Step 3: Cross multiply
    89,981x = 196,912 × 196,912
  4. Step 4: Simplify right side
    89,981x = 38,774,335,744
  5. Step 5: Solve for x
    x = 38,774,335,744/89,981
  6. Step 6: Final answer
    x = 430,916.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.