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Finding the Third Proportional to 93,764 and 191,009

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Solution

The third proportional to 93,764 and 191,009 is: 389,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,764 : 191,009 = 191,009 : x
  2. Step 2: Convert to fraction form
    93,764/191,009 = 191,009/x
  3. Step 3: Cross multiply
    93,764x = 191,009 × 191,009
  4. Step 4: Simplify right side
    93,764x = 36,484,438,081
  5. Step 5: Solve for x
    x = 36,484,438,081/93,764
  6. Step 6: Final answer
    x = 389,109.23

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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.