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Finding the Third Proportional to 93,862 and 194,378

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Solution

The third proportional to 93,862 and 194,378 is: 402,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,862 : 194,378 = 194,378 : x
  2. Step 2: Convert to fraction form
    93,862/194,378 = 194,378/x
  3. Step 3: Cross multiply
    93,862x = 194,378 × 194,378
  4. Step 4: Simplify right side
    93,862x = 37,782,806,884
  5. Step 5: Solve for x
    x = 37,782,806,884/93,862
  6. Step 6: Final answer
    x = 402,535.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.