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Finding the Third Proportional to 48,188.39 and 104,421.23

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Solution

The third proportional to 48,188.39 and 104,421.23 is: 226,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,188.39 : 104,421.23 = 104,421.23 : x
  2. Step 2: Convert to fraction form
    48,188.39/104,421.23 = 104,421.23/x
  3. Step 3: Cross multiply
    48,188.39x = 104,421.23 × 104,421.23
  4. Step 4: Simplify right side
    48,188.39x = 10,903,794,188.40
  5. Step 5: Solve for x
    x = 10,903,794,188.40/48,188.39
  6. Step 6: Final answer
    x = 226,274.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.