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Finding the Third Proportional to 50,699,984 and 109,482,016

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Solution

The third proportional to 50,699,984 and 109,482,016 is: 236,416,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,699,984 : 109,482,016 = 109,482,016 : x
  2. Step 2: Convert to fraction form
    50,699,984/109,482,016 = 109,482,016/x
  3. Step 3: Cross multiply
    50,699,984x = 109,482,016 × 109,482,016
  4. Step 4: Simplify right side
    50,699,984x = 11,986,311,827,424,256
  5. Step 5: Solve for x
    x = 11,986,311,827,424,256/50,699,984
  6. Step 6: Final answer
    x = 236,416,481.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.