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Finding the Third Proportional to 93,110 and 200,984

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Solution

The third proportional to 93,110 and 200,984 is: 433,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,110 : 200,984 = 200,984 : x
  2. Step 2: Convert to fraction form
    93,110/200,984 = 200,984/x
  3. Step 3: Cross multiply
    93,110x = 200,984 × 200,984
  4. Step 4: Simplify right side
    93,110x = 40,394,568,256
  5. Step 5: Solve for x
    x = 40,394,568,256/93,110
  6. Step 6: Final answer
    x = 433,837.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.