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Finding the Third Proportional to 89,841 and 196,497

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Solution

The third proportional to 89,841 and 196,497 is: 429,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,841 : 196,497 = 196,497 : x
  2. Step 2: Convert to fraction form
    89,841/196,497 = 196,497/x
  3. Step 3: Cross multiply
    89,841x = 196,497 × 196,497
  4. Step 4: Simplify right side
    89,841x = 38,611,071,009
  5. Step 5: Solve for x
    x = 38,611,071,009/89,841
  6. Step 6: Final answer
    x = 429,771.16

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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.