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Finding the Third Proportional to 48,814.50 and 100,544.25

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Solution

The third proportional to 48,814.50 and 100,544.25 is: 207,093.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,814.50 : 100,544.25 = 100,544.25 : x
  2. Step 2: Convert to fraction form
    48,814.50/100,544.25 = 100,544.25/x
  3. Step 3: Cross multiply
    48,814.50x = 100,544.25 × 100,544.25
  4. Step 4: Simplify right side
    48,814.50x = 10,109,146,208.06
  5. Step 5: Solve for x
    x = 10,109,146,208.06/48,814.50
  6. Step 6: Final answer
    x = 207,093.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.