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Finding the Third Proportional to 93,600 and 193,824

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Solution

The third proportional to 93,600 and 193,824 is: 401,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,600 : 193,824 = 193,824 : x
  2. Step 2: Convert to fraction form
    93,600/193,824 = 193,824/x
  3. Step 3: Cross multiply
    93,600x = 193,824 × 193,824
  4. Step 4: Simplify right side
    93,600x = 37,567,742,976
  5. Step 5: Solve for x
    x = 37,567,742,976/93,600
  6. Step 6: Final answer
    x = 401,364.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.