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Finding the Third Proportional to 199,276,641 and 431,305,686

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Solution

The third proportional to 199,276,641 and 431,305,686 is: 933,499,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,276,641 : 431,305,686 = 431,305,686 : x
  2. Step 2: Convert to fraction form
    199,276,641/431,305,686 = 431,305,686/x
  3. Step 3: Cross multiply
    199,276,641x = 431,305,686 × 431,305,686
  4. Step 4: Simplify right side
    199,276,641x = 186,024,594,775,930,592
  5. Step 5: Solve for x
    x = 186,024,594,775,930,592/199,276,641
  6. Step 6: Final answer
    x = 933,499,249.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.