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Finding the Third Proportional to 199,848,977 and 462,621,570

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Solution

The third proportional to 199,848,977 and 462,621,570 is: 1,070,902,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,848,977 : 462,621,570 = 462,621,570 : x
  2. Step 2: Convert to fraction form
    199,848,977/462,621,570 = 462,621,570/x
  3. Step 3: Cross multiply
    199,848,977x = 462,621,570 × 462,621,570
  4. Step 4: Simplify right side
    199,848,977x = 214,018,717,029,264,896
  5. Step 5: Solve for x
    x = 214,018,717,029,264,896/199,848,977
  6. Step 6: Final answer
    x = 1,070,902,239.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.