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Finding the Third Proportional to 46,650 and 100,668

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Solution

The third proportional to 46,650 and 100,668 is: 217,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,650 : 100,668 = 100,668 : x
  2. Step 2: Convert to fraction form
    46,650/100,668 = 100,668/x
  3. Step 3: Cross multiply
    46,650x = 100,668 × 100,668
  4. Step 4: Simplify right side
    46,650x = 10,134,046,224
  5. Step 5: Solve for x
    x = 10,134,046,224/46,650
  6. Step 6: Final answer
    x = 217,235.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.