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Finding the Third Proportional to 93,770 and 191,021

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Solution

The third proportional to 93,770 and 191,021 is: 389,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,770 : 191,021 = 191,021 : x
  2. Step 2: Convert to fraction form
    93,770/191,021 = 191,021/x
  3. Step 3: Cross multiply
    93,770x = 191,021 × 191,021
  4. Step 4: Simplify right side
    93,770x = 36,489,022,441
  5. Step 5: Solve for x
    x = 36,489,022,441/93,770
  6. Step 6: Final answer
    x = 389,133.22

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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.