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Finding the Third Proportional to 48,423.75 and 104,889.75

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Solution

The third proportional to 48,423.75 and 104,889.75 is: 227,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,423.75 : 104,889.75 = 104,889.75 : x
  2. Step 2: Convert to fraction form
    48,423.75/104,889.75 = 104,889.75/x
  3. Step 3: Cross multiply
    48,423.75x = 104,889.75 × 104,889.75
  4. Step 4: Simplify right side
    48,423.75x = 11,001,859,655.06
  5. Step 5: Solve for x
    x = 11,001,859,655.06/48,423.75
  6. Step 6: Final answer
    x = 227,199.66

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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.