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Finding the Third Proportional to 49,307.06 and 107,944.31

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Solution

The third proportional to 49,307.06 and 107,944.31 is: 236,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,307.06 : 107,944.31 = 107,944.31 : x
  2. Step 2: Convert to fraction form
    49,307.06/107,944.31 = 107,944.31/x
  3. Step 3: Cross multiply
    49,307.06x = 107,944.31 × 107,944.31
  4. Step 4: Simplify right side
    49,307.06x = 11,651,974,601.10
  5. Step 5: Solve for x
    x = 11,651,974,601.10/49,307.06
  6. Step 6: Final answer
    x = 236,314.52

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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.