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Finding the Third Proportional to 46,836 and 100,284

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Solution

The third proportional to 46,836 and 100,284 is: 214,725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,836 : 100,284 = 100,284 : x
  2. Step 2: Convert to fraction form
    46,836/100,284 = 100,284/x
  3. Step 3: Cross multiply
    46,836x = 100,284 × 100,284
  4. Step 4: Simplify right side
    46,836x = 10,056,880,656
  5. Step 5: Solve for x
    x = 10,056,880,656/46,836
  6. Step 6: Final answer
    x = 214,725.44

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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.