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Finding the Third Proportional to 280,473,341,142 and 568,751,180,616.75

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Solution

The third proportional to 280,473,341,142 and 568,751,180,616.75 is: 1,153,328,527,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,473,341,142 : 568,751,180,616.75 = 568,751,180,616.75 : x
  2. Step 2: Convert to fraction form
    280,473,341,142/568,751,180,616.75 = 568,751,180,616.75/x
  3. Step 3: Cross multiply
    280,473,341,142x = 568,751,180,616.75 × 568,751,180,616.75
  4. Step 4: Simplify right side
    280,473,341,142x = 323,477,905,452,947,000,524,800
  5. Step 5: Solve for x
    x = 323,477,905,452,947,000,524,800/280,473,341,142
  6. Step 6: Final answer
    x = 1,153,328,527,181.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.