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Finding the Third Proportional to 263,589,565 and 548,996,196

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Solution

The third proportional to 263,589,565 and 548,996,196 is: 1,143,432,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,589,565 : 548,996,196 = 548,996,196 : x
  2. Step 2: Convert to fraction form
    263,589,565/548,996,196 = 548,996,196/x
  3. Step 3: Cross multiply
    263,589,565x = 548,996,196 × 548,996,196
  4. Step 4: Simplify right side
    263,589,565x = 301,396,823,222,470,400
  5. Step 5: Solve for x
    x = 301,396,823,222,470,400/263,589,565
  6. Step 6: Final answer
    x = 1,143,432,302.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.