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Finding the Third Proportional to 46,818 and 100,197

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Solution

The third proportional to 46,818 and 100,197 is: 214,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,818 : 100,197 = 100,197 : x
  2. Step 2: Convert to fraction form
    46,818/100,197 = 100,197/x
  3. Step 3: Cross multiply
    46,818x = 100,197 × 100,197
  4. Step 4: Simplify right side
    46,818x = 10,039,438,809
  5. Step 5: Solve for x
    x = 10,039,438,809/46,818
  6. Step 6: Final answer
    x = 214,435.45

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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.