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Finding the Third Proportional to 46,651 and 100,670

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Solution

The third proportional to 46,651 and 100,670 is: 217,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,651 : 100,670 = 100,670 : x
  2. Step 2: Convert to fraction form
    46,651/100,670 = 100,670/x
  3. Step 3: Cross multiply
    46,651x = 100,670 × 100,670
  4. Step 4: Simplify right side
    46,651x = 10,134,448,900
  5. Step 5: Solve for x
    x = 10,134,448,900/46,651
  6. Step 6: Final answer
    x = 217,239.69

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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.