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Finding the Third Proportional to 46,995 and 101,781

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Solution

The third proportional to 46,995 and 101,781 is: 220,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,995 : 101,781 = 101,781 : x
  2. Step 2: Convert to fraction form
    46,995/101,781 = 101,781/x
  3. Step 3: Cross multiply
    46,995x = 101,781 × 101,781
  4. Step 4: Simplify right side
    46,995x = 10,359,371,961
  5. Step 5: Solve for x
    x = 10,359,371,961/46,995
  6. Step 6: Final answer
    x = 220,435.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.