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Finding the Third Proportional to 48,729.09 and 106,764.33

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Solution

The third proportional to 48,729.09 and 106,764.33 is: 233,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,729.09 : 106,764.33 = 106,764.33 : x
  2. Step 2: Convert to fraction form
    48,729.09/106,764.33 = 106,764.33/x
  3. Step 3: Cross multiply
    48,729.09x = 106,764.33 × 106,764.33
  4. Step 4: Simplify right side
    48,729.09x = 11,398,621,759.98
  5. Step 5: Solve for x
    x = 11,398,621,759.98/48,729.09
  6. Step 6: Final answer
    x = 233,918.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.