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Finding the Third Proportional to 136,215,456 and 302,664,000

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Solution

The third proportional to 136,215,456 and 302,664,000 is: 672,504,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,215,456 : 302,664,000 = 302,664,000 : x
  2. Step 2: Convert to fraction form
    136,215,456/302,664,000 = 302,664,000/x
  3. Step 3: Cross multiply
    136,215,456x = 302,664,000 × 302,664,000
  4. Step 4: Simplify right side
    136,215,456x = 91,605,496,896,000,000
  5. Step 5: Solve for x
    x = 91,605,496,896,000,000/136,215,456
  6. Step 6: Final answer
    x = 672,504,424.87

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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.