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Finding the Third Proportional to 146,106,888 and 219,352,512

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Solution

The third proportional to 146,106,888 and 219,352,512 is: 329,317,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,106,888 : 219,352,512 = 219,352,512 : x
  2. Step 2: Convert to fraction form
    146,106,888/219,352,512 = 219,352,512/x
  3. Step 3: Cross multiply
    146,106,888x = 219,352,512 × 219,352,512
  4. Step 4: Simplify right side
    146,106,888x = 48,115,524,520,710,144
  5. Step 5: Solve for x
    x = 48,115,524,520,710,144/146,106,888
  6. Step 6: Final answer
    x = 329,317,290.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.