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Finding the Third Proportional to 93,939.75 and 197,721

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Solution

The third proportional to 93,939.75 and 197,721 is: 416,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,939.75 : 197,721 = 197,721 : x
  2. Step 2: Convert to fraction form
    93,939.75/197,721 = 197,721/x
  3. Step 3: Cross multiply
    93,939.75x = 197,721 × 197,721
  4. Step 4: Simplify right side
    93,939.75x = 39,093,593,841
  5. Step 5: Solve for x
    x = 39,093,593,841/93,939.75
  6. Step 6: Final answer
    x = 416,156.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.