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Finding the Third Proportional to 121,635.94 and 193,696.50

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Solution

The third proportional to 121,635.94 and 193,696.50 is: 308,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,635.94 : 193,696.50 = 193,696.50 : x
  2. Step 2: Convert to fraction form
    121,635.94/193,696.50 = 193,696.50/x
  3. Step 3: Cross multiply
    121,635.94x = 193,696.50 × 193,696.50
  4. Step 4: Simplify right side
    121,635.94x = 37,518,334,112.25
  5. Step 5: Solve for x
    x = 37,518,334,112.25/121,635.94
  6. Step 6: Final answer
    x = 308,447.77

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.