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Finding the Third Proportional to 46,215 and 100,200

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Solution

The third proportional to 46,215 and 100,200 is: 217,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,215 : 100,200 = 100,200 : x
  2. Step 2: Convert to fraction form
    46,215/100,200 = 100,200/x
  3. Step 3: Cross multiply
    46,215x = 100,200 × 100,200
  4. Step 4: Simplify right side
    46,215x = 10,040,040,000
  5. Step 5: Solve for x
    x = 10,040,040,000/46,215
  6. Step 6: Final answer
    x = 217,246.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.