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Finding the Third Proportional to 93,696 and 201,720

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Solution

The third proportional to 93,696 and 201,720 is: 434,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,696 : 201,720 = 201,720 : x
  2. Step 2: Convert to fraction form
    93,696/201,720 = 201,720/x
  3. Step 3: Cross multiply
    93,696x = 201,720 × 201,720
  4. Step 4: Simplify right side
    93,696x = 40,690,958,400
  5. Step 5: Solve for x
    x = 40,690,958,400/93,696
  6. Step 6: Final answer
    x = 434,287.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.