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Finding the Third Proportional to 49,660,954.88 and 115,993,490.06

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Solution

The third proportional to 49,660,954.88 and 115,993,490.06 is: 270,926,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,660,954.88 : 115,993,490.06 = 115,993,490.06 : x
  2. Step 2: Convert to fraction form
    49,660,954.88/115,993,490.06 = 115,993,490.06/x
  3. Step 3: Cross multiply
    49,660,954.88x = 115,993,490.06 × 115,993,490.06
  4. Step 4: Simplify right side
    49,660,954.88x = 13,454,489,736,879,286
  5. Step 5: Solve for x
    x = 13,454,489,736,879,286/49,660,954.88
  6. Step 6: Final answer
    x = 270,926,923.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.