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Finding the Third Proportional to 93,904 and 195,604

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Solution

The third proportional to 93,904 and 195,604 is: 407,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,904 : 195,604 = 195,604 : x
  2. Step 2: Convert to fraction form
    93,904/195,604 = 195,604/x
  3. Step 3: Cross multiply
    93,904x = 195,604 × 195,604
  4. Step 4: Simplify right side
    93,904x = 38,260,924,816
  5. Step 5: Solve for x
    x = 38,260,924,816/93,904
  6. Step 6: Final answer
    x = 407,447.23

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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.