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Finding the Third Proportional to 46,483 and 101,837

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Solution

The third proportional to 46,483 and 101,837 is: 223,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,483 : 101,837 = 101,837 : x
  2. Step 2: Convert to fraction form
    46,483/101,837 = 101,837/x
  3. Step 3: Cross multiply
    46,483x = 101,837 × 101,837
  4. Step 4: Simplify right side
    46,483x = 10,370,774,569
  5. Step 5: Solve for x
    x = 10,370,774,569/46,483
  6. Step 6: Final answer
    x = 223,108.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.