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Finding the Third Proportional to 93,034 and 193,940

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Solution

The third proportional to 93,034 and 193,940 is: 404,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,034 : 193,940 = 193,940 : x
  2. Step 2: Convert to fraction form
    93,034/193,940 = 193,940/x
  3. Step 3: Cross multiply
    93,034x = 193,940 × 193,940
  4. Step 4: Simplify right side
    93,034x = 37,612,723,600
  5. Step 5: Solve for x
    x = 37,612,723,600/93,034
  6. Step 6: Final answer
    x = 404,290.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.