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Finding the Third Proportional to 46,222 and 101,462

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Solution

The third proportional to 46,222 and 101,462 is: 222,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,222 : 101,462 = 101,462 : x
  2. Step 2: Convert to fraction form
    46,222/101,462 = 101,462/x
  3. Step 3: Cross multiply
    46,222x = 101,462 × 101,462
  4. Step 4: Simplify right side
    46,222x = 10,294,537,444
  5. Step 5: Solve for x
    x = 10,294,537,444/46,222
  6. Step 6: Final answer
    x = 222,719.43

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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.