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Finding the Third Proportional to 146,218,288.50 and 321,136,011

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Solution

The third proportional to 146,218,288.50 and 321,136,011 is: 705,303,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218,288.50 : 321,136,011 = 321,136,011 : x
  2. Step 2: Convert to fraction form
    146,218,288.50/321,136,011 = 321,136,011/x
  3. Step 3: Cross multiply
    146,218,288.50x = 321,136,011 × 321,136,011
  4. Step 4: Simplify right side
    146,218,288.50x = 103,128,337,560,992,128
  5. Step 5: Solve for x
    x = 103,128,337,560,992,128/146,218,288.50
  6. Step 6: Final answer
    x = 705,303,957.66

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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.