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Finding the Third Proportional to 93,851 and 195,467

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Solution

The third proportional to 93,851 and 195,467 is: 407,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,851 : 195,467 = 195,467 : x
  2. Step 2: Convert to fraction form
    93,851/195,467 = 195,467/x
  3. Step 3: Cross multiply
    93,851x = 195,467 × 195,467
  4. Step 4: Simplify right side
    93,851x = 38,207,348,089
  5. Step 5: Solve for x
    x = 38,207,348,089/93,851
  6. Step 6: Final answer
    x = 407,106.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.