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Finding the Third Proportional to 150,656,900 and 213,238,014

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Solution

The third proportional to 150,656,900 and 213,238,014 is: 301,814,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,656,900 : 213,238,014 = 213,238,014 : x
  2. Step 2: Convert to fraction form
    150,656,900/213,238,014 = 213,238,014/x
  3. Step 3: Cross multiply
    150,656,900x = 213,238,014 × 213,238,014
  4. Step 4: Simplify right side
    150,656,900x = 45,470,450,614,664,192
  5. Step 5: Solve for x
    x = 45,470,450,614,664,192/150,656,900
  6. Step 6: Final answer
    x = 301,814,590.73

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.