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Finding the Third Proportional to 49,964.50 and 108,083

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Solution

The third proportional to 49,964.50 and 108,083 is: 233,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,964.50 : 108,083 = 108,083 : x
  2. Step 2: Convert to fraction form
    49,964.50/108,083 = 108,083/x
  3. Step 3: Cross multiply
    49,964.50x = 108,083 × 108,083
  4. Step 4: Simplify right side
    49,964.50x = 11,681,934,889
  5. Step 5: Solve for x
    x = 11,681,934,889/49,964.50
  6. Step 6: Final answer
    x = 233,804.70

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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.