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Finding the Third Proportional to 93,798 and 193,839

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Solution

The third proportional to 93,798 and 193,839 is: 400,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,798 : 193,839 = 193,839 : x
  2. Step 2: Convert to fraction form
    93,798/193,839 = 193,839/x
  3. Step 3: Cross multiply
    93,798x = 193,839 × 193,839
  4. Step 4: Simplify right side
    93,798x = 37,573,557,921
  5. Step 5: Solve for x
    x = 37,573,557,921/93,798
  6. Step 6: Final answer
    x = 400,579.52

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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.