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Finding the Third Proportional to 46,881 and 102,663

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Solution

The third proportional to 46,881 and 102,663 is: 224,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,881 : 102,663 = 102,663 : x
  2. Step 2: Convert to fraction form
    46,881/102,663 = 102,663/x
  3. Step 3: Cross multiply
    46,881x = 102,663 × 102,663
  4. Step 4: Simplify right side
    46,881x = 10,539,691,569
  5. Step 5: Solve for x
    x = 10,539,691,569/46,881
  6. Step 6: Final answer
    x = 224,817.98

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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.