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Finding the Third Proportional to 46,999 and 103,301

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Solution

The third proportional to 46,999 and 103,301 is: 227,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,999 : 103,301 = 103,301 : x
  2. Step 2: Convert to fraction form
    46,999/103,301 = 103,301/x
  3. Step 3: Cross multiply
    46,999x = 103,301 × 103,301
  4. Step 4: Simplify right side
    46,999x = 10,671,096,601
  5. Step 5: Solve for x
    x = 10,671,096,601/46,999
  6. Step 6: Final answer
    x = 227,049.44

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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.