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Finding the Third Proportional to 49,111.50 and 106,048.50

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Solution

The third proportional to 49,111.50 and 106,048.50 is: 228,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,111.50 : 106,048.50 = 106,048.50 : x
  2. Step 2: Convert to fraction form
    49,111.50/106,048.50 = 106,048.50/x
  3. Step 3: Cross multiply
    49,111.50x = 106,048.50 × 106,048.50
  4. Step 4: Simplify right side
    49,111.50x = 11,246,284,352.25
  5. Step 5: Solve for x
    x = 11,246,284,352.25/49,111.50
  6. Step 6: Final answer
    x = 228,994.93

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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.