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Finding the Third Proportional to 49,233,816 and 107,733,168

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Solution

The third proportional to 49,233,816 and 107,733,168 is: 235,741,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,233,816 : 107,733,168 = 107,733,168 : x
  2. Step 2: Convert to fraction form
    49,233,816/107,733,168 = 107,733,168/x
  3. Step 3: Cross multiply
    49,233,816x = 107,733,168 × 107,733,168
  4. Step 4: Simplify right side
    49,233,816x = 11,606,435,487,316,224
  5. Step 5: Solve for x
    x = 11,606,435,487,316,224/49,233,816
  6. Step 6: Final answer
    x = 235,741,131.41

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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.