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Finding the Third Proportional to 104,768 and 194,216

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Solution

The third proportional to 104,768 and 194,216 is: 360,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,768 : 194,216 = 194,216 : x
  2. Step 2: Convert to fraction form
    104,768/194,216 = 194,216/x
  3. Step 3: Cross multiply
    104,768x = 194,216 × 194,216
  4. Step 4: Simplify right side
    104,768x = 37,719,854,656
  5. Step 5: Solve for x
    x = 37,719,854,656/104,768
  6. Step 6: Final answer
    x = 360,032.21

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.