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Finding the Third Proportional to 46,048.50 and 100,831.50

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Solution

The third proportional to 46,048.50 and 100,831.50 is: 220,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,048.50 : 100,831.50 = 100,831.50 : x
  2. Step 2: Convert to fraction form
    46,048.50/100,831.50 = 100,831.50/x
  3. Step 3: Cross multiply
    46,048.50x = 100,831.50 × 100,831.50
  4. Step 4: Simplify right side
    46,048.50x = 10,166,991,392.25
  5. Step 5: Solve for x
    x = 10,166,991,392.25/46,048.50
  6. Step 6: Final answer
    x = 220,788.76

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