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Finding the Third Proportional to 267,108,899.25 and 580,199,079

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Solution

The third proportional to 267,108,899.25 and 580,199,079 is: 1,260,276,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,108,899.25 : 580,199,079 = 580,199,079 : x
  2. Step 2: Convert to fraction form
    267,108,899.25/580,199,079 = 580,199,079/x
  3. Step 3: Cross multiply
    267,108,899.25x = 580,199,079 × 580,199,079
  4. Step 4: Simplify right side
    267,108,899.25x = 336,630,971,272,448,256
  5. Step 5: Solve for x
    x = 336,630,971,272,448,256/267,108,899.25
  6. Step 6: Final answer
    x = 1,260,276,135.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.