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Finding the Third Proportional to 205,530,504 and 485,015,196

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Solution

The third proportional to 205,530,504 and 485,015,196 is: 1,144,549,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,530,504 : 485,015,196 = 485,015,196 : x
  2. Step 2: Convert to fraction form
    205,530,504/485,015,196 = 485,015,196/x
  3. Step 3: Cross multiply
    205,530,504x = 485,015,196 × 485,015,196
  4. Step 4: Simplify right side
    205,530,504x = 235,239,740,350,918,400
  5. Step 5: Solve for x
    x = 235,239,740,350,918,400/205,530,504
  6. Step 6: Final answer
    x = 1,144,549,036.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.