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Finding the Third Proportional to 146,095,725 and 321,410,245.50

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Solution

The third proportional to 146,095,725 and 321,410,245.50 is: 707,101,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,095,725 : 321,410,245.50 = 321,410,245.50 : x
  2. Step 2: Convert to fraction form
    146,095,725/321,410,245.50 = 321,410,245.50/x
  3. Step 3: Cross multiply
    146,095,725x = 321,410,245.50 × 321,410,245.50
  4. Step 4: Simplify right side
    146,095,725x = 103,304,545,912,370,272
  5. Step 5: Solve for x
    x = 103,304,545,912,370,272/146,095,725
  6. Step 6: Final answer
    x = 707,101,771.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.