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Finding the Third Proportional to 48,904.88 and 107,149.78

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Solution

The third proportional to 48,904.88 and 107,149.78 is: 234,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,904.88 : 107,149.78 = 107,149.78 : x
  2. Step 2: Convert to fraction form
    48,904.88/107,149.78 = 107,149.78/x
  3. Step 3: Cross multiply
    48,904.88x = 107,149.78 × 107,149.78
  4. Step 4: Simplify right side
    48,904.88x = 11,481,075,621.92
  5. Step 5: Solve for x
    x = 11,481,075,621.92/48,904.88
  6. Step 6: Final answer
    x = 234,763.42

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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.