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Finding the Third Proportional to 46,995 and 103,336

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Solution

The third proportional to 46,995 and 103,336 is: 227,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,995 : 103,336 = 103,336 : x
  2. Step 2: Convert to fraction form
    46,995/103,336 = 103,336/x
  3. Step 3: Cross multiply
    46,995x = 103,336 × 103,336
  4. Step 4: Simplify right side
    46,995x = 10,678,328,896
  5. Step 5: Solve for x
    x = 10,678,328,896/46,995
  6. Step 6: Final answer
    x = 227,222.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.