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Finding the Third Proportional to 46,831.50 and 101,976

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Solution

The third proportional to 46,831.50 and 101,976 is: 222,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,831.50 : 101,976 = 101,976 : x
  2. Step 2: Convert to fraction form
    46,831.50/101,976 = 101,976/x
  3. Step 3: Cross multiply
    46,831.50x = 101,976 × 101,976
  4. Step 4: Simplify right side
    46,831.50x = 10,399,104,576
  5. Step 5: Solve for x
    x = 10,399,104,576/46,831.50
  6. Step 6: Final answer
    x = 222,053.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.