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Finding the Third Proportional to 214,467,061.50 and 321,412,455

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Solution

The third proportional to 214,467,061.50 and 321,412,455 is: 481,686,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,467,061.50 : 321,412,455 = 321,412,455 : x
  2. Step 2: Convert to fraction form
    214,467,061.50/321,412,455 = 321,412,455/x
  3. Step 3: Cross multiply
    214,467,061.50x = 321,412,455 × 321,412,455
  4. Step 4: Simplify right side
    214,467,061.50x = 103,305,966,229,127,024
  5. Step 5: Solve for x
    x = 103,305,966,229,127,024/214,467,061.50
  6. Step 6: Final answer
    x = 481,686,863.74

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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.