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Finding the Third Proportional to 48,920.06 and 106,205.34

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Solution

The third proportional to 48,920.06 and 106,205.34 is: 230,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,920.06 : 106,205.34 = 106,205.34 : x
  2. Step 2: Convert to fraction form
    48,920.06/106,205.34 = 106,205.34/x
  3. Step 3: Cross multiply
    48,920.06x = 106,205.34 × 106,205.34
  4. Step 4: Simplify right side
    48,920.06x = 11,279,575,041.06
  5. Step 5: Solve for x
    x = 11,279,575,041.06/48,920.06
  6. Step 6: Final answer
    x = 230,571.56

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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.