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Finding the Third Proportional to 136,215,462 and 302,664,012

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Solution

The third proportional to 136,215,462 and 302,664,012 is: 672,504,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,215,462 : 302,664,012 = 302,664,012 : x
  2. Step 2: Convert to fraction form
    136,215,462/302,664,012 = 302,664,012/x
  3. Step 3: Cross multiply
    136,215,462x = 302,664,012 × 302,664,012
  4. Step 4: Simplify right side
    136,215,462x = 91,605,504,159,936,144
  5. Step 5: Solve for x
    x = 91,605,504,159,936,144/136,215,462
  6. Step 6: Final answer
    x = 672,504,448.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.