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Finding the Third Proportional to 48,188.53 and 104,421.38

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Solution

The third proportional to 48,188.53 and 104,421.38 is: 226,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,188.53 : 104,421.38 = 104,421.38 : x
  2. Step 2: Convert to fraction form
    48,188.53/104,421.38 = 104,421.38/x
  3. Step 3: Cross multiply
    48,188.53x = 104,421.38 × 104,421.38
  4. Step 4: Simplify right side
    48,188.53x = 10,903,823,556.89
  5. Step 5: Solve for x
    x = 10,903,823,556.89/48,188.53
  6. Step 6: Final answer
    x = 226,274.25

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Why These Related Problems?

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