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Finding the Third Proportional to 46,944 and 101,441

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Solution

The third proportional to 46,944 and 101,441 is: 219,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,944 : 101,441 = 101,441 : x
  2. Step 2: Convert to fraction form
    46,944/101,441 = 101,441/x
  3. Step 3: Cross multiply
    46,944x = 101,441 × 101,441
  4. Step 4: Simplify right side
    46,944x = 10,290,276,481
  5. Step 5: Solve for x
    x = 10,290,276,481/46,944
  6. Step 6: Final answer
    x = 219,203.23

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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.