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Finding the Third Proportional to 49,956.50 and 104,531.50

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Solution

The third proportional to 49,956.50 and 104,531.50 is: 218,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,956.50 : 104,531.50 = 104,531.50 : x
  2. Step 2: Convert to fraction form
    49,956.50/104,531.50 = 104,531.50/x
  3. Step 3: Cross multiply
    49,956.50x = 104,531.50 × 104,531.50
  4. Step 4: Simplify right side
    49,956.50x = 10,926,834,492.25
  5. Step 5: Solve for x
    x = 10,926,834,492.25/49,956.50
  6. Step 6: Final answer
    x = 218,726.98

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.