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Finding the Third Proportional to 93,093 and 200,947

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Solution

The third proportional to 93,093 and 200,947 is: 433,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,093 : 200,947 = 200,947 : x
  2. Step 2: Convert to fraction form
    93,093/200,947 = 200,947/x
  3. Step 3: Cross multiply
    93,093x = 200,947 × 200,947
  4. Step 4: Simplify right side
    93,093x = 40,379,696,809
  5. Step 5: Solve for x
    x = 40,379,696,809/93,093
  6. Step 6: Final answer
    x = 433,756.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.