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Finding the Third Proportional to 89,836 and 194,623

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Solution

The third proportional to 89,836 and 194,623 is: 421,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,836 : 194,623 = 194,623 : x
  2. Step 2: Convert to fraction form
    89,836/194,623 = 194,623/x
  3. Step 3: Cross multiply
    89,836x = 194,623 × 194,623
  4. Step 4: Simplify right side
    89,836x = 37,878,112,129
  5. Step 5: Solve for x
    x = 37,878,112,129/89,836
  6. Step 6: Final answer
    x = 421,636.23

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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.