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Finding the Third Proportional to 53,204,736 and 114,614,001

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Solution

The third proportional to 53,204,736 and 114,614,001 is: 246,902,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204,736 : 114,614,001 = 114,614,001 : x
  2. Step 2: Convert to fraction form
    53,204,736/114,614,001 = 114,614,001/x
  3. Step 3: Cross multiply
    53,204,736x = 114,614,001 × 114,614,001
  4. Step 4: Simplify right side
    53,204,736x = 13,136,369,225,228,000
  5. Step 5: Solve for x
    x = 13,136,369,225,228,000/53,204,736
  6. Step 6: Final answer
    x = 246,902,253.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.