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Finding the Third Proportional to 46,805 and 101,098

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Solution

The third proportional to 46,805 and 101,098 is: 218,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,805 : 101,098 = 101,098 : x
  2. Step 2: Convert to fraction form
    46,805/101,098 = 101,098/x
  3. Step 3: Cross multiply
    46,805x = 101,098 × 101,098
  4. Step 4: Simplify right side
    46,805x = 10,220,805,604
  5. Step 5: Solve for x
    x = 10,220,805,604/46,805
  6. Step 6: Final answer
    x = 218,369.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.