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Finding the Third Proportional to 48,615.19 and 104,611.50

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Solution

The third proportional to 48,615.19 and 104,611.50 is: 225,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,615.19 : 104,611.50 = 104,611.50 : x
  2. Step 2: Convert to fraction form
    48,615.19/104,611.50 = 104,611.50/x
  3. Step 3: Cross multiply
    48,615.19x = 104,611.50 × 104,611.50
  4. Step 4: Simplify right side
    48,615.19x = 10,943,565,932.25
  5. Step 5: Solve for x
    x = 10,943,565,932.25/48,615.19
  6. Step 6: Final answer
    x = 225,105.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.