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Finding the Third Proportional to 49,686,916 and 108,121,832

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Solution

The third proportional to 49,686,916 and 108,121,832 is: 235,279,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,686,916 : 108,121,832 = 108,121,832 : x
  2. Step 2: Convert to fraction form
    49,686,916/108,121,832 = 108,121,832/x
  3. Step 3: Cross multiply
    49,686,916x = 108,121,832 × 108,121,832
  4. Step 4: Simplify right side
    49,686,916x = 11,690,330,555,036,224
  5. Step 5: Solve for x
    x = 11,690,330,555,036,224/49,686,916
  6. Step 6: Final answer
    x = 235,279,858.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.