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Finding the Third Proportional to 93,824 and 191,467

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Solution

The third proportional to 93,824 and 191,467 is: 390,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,824 : 191,467 = 191,467 : x
  2. Step 2: Convert to fraction form
    93,824/191,467 = 191,467/x
  3. Step 3: Cross multiply
    93,824x = 191,467 × 191,467
  4. Step 4: Simplify right side
    93,824x = 36,659,612,089
  5. Step 5: Solve for x
    x = 36,659,612,089/93,824
  6. Step 6: Final answer
    x = 390,727.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.