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Finding the Third Proportional to 260,913,350 and 559,175,638

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Solution

The third proportional to 260,913,350 and 559,175,638 is: 1,198,395,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,913,350 : 559,175,638 = 559,175,638 : x
  2. Step 2: Convert to fraction form
    260,913,350/559,175,638 = 559,175,638/x
  3. Step 3: Cross multiply
    260,913,350x = 559,175,638 × 559,175,638
  4. Step 4: Simplify right side
    260,913,350x = 312,677,394,132,707,072
  5. Step 5: Solve for x
    x = 312,677,394,132,707,072/260,913,350
  6. Step 6: Final answer
    x = 1,198,395,536.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.