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Finding the Third Proportional to 93,623 and 200,368

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Solution

The third proportional to 93,623 and 200,368 is: 428,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,623 : 200,368 = 200,368 : x
  2. Step 2: Convert to fraction form
    93,623/200,368 = 200,368/x
  3. Step 3: Cross multiply
    93,623x = 200,368 × 200,368
  4. Step 4: Simplify right side
    93,623x = 40,147,335,424
  5. Step 5: Solve for x
    x = 40,147,335,424/93,623
  6. Step 6: Final answer
    x = 428,819.15

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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.