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Finding the Third Proportional to 48,205.50 and 103,809

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Solution

The third proportional to 48,205.50 and 103,809 is: 223,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205.50 : 103,809 = 103,809 : x
  2. Step 2: Convert to fraction form
    48,205.50/103,809 = 103,809/x
  3. Step 3: Cross multiply
    48,205.50x = 103,809 × 103,809
  4. Step 4: Simplify right side
    48,205.50x = 10,776,308,481
  5. Step 5: Solve for x
    x = 10,776,308,481/48,205.50
  6. Step 6: Final answer
    x = 223,549.36

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Why These Related Problems?

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