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Finding the Third Proportional to 49,990.50 and 110,111.63

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Solution

The third proportional to 49,990.50 and 110,111.63 is: 242,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,990.50 : 110,111.63 = 110,111.63 : x
  2. Step 2: Convert to fraction form
    49,990.50/110,111.63 = 110,111.63/x
  3. Step 3: Cross multiply
    49,990.50x = 110,111.63 × 110,111.63
  4. Step 4: Simplify right side
    49,990.50x = 12,124,569,960.14
  5. Step 5: Solve for x
    x = 12,124,569,960.14/49,990.50
  6. Step 6: Final answer
    x = 242,537.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.