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Finding the Third Proportional to 93,412 and 199,946

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Solution

The third proportional to 93,412 and 199,946 is: 427,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,412 : 199,946 = 199,946 : x
  2. Step 2: Convert to fraction form
    93,412/199,946 = 199,946/x
  3. Step 3: Cross multiply
    93,412x = 199,946 × 199,946
  4. Step 4: Simplify right side
    93,412x = 39,978,402,916
  5. Step 5: Solve for x
    x = 39,978,402,916/93,412
  6. Step 6: Final answer
    x = 427,979.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.