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Finding the Third Proportional to 209,266,362 and 450,515,493

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Solution

The third proportional to 209,266,362 and 450,515,493 is: 969,884,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,266,362 : 450,515,493 = 450,515,493 : x
  2. Step 2: Convert to fraction form
    209,266,362/450,515,493 = 450,515,493/x
  3. Step 3: Cross multiply
    209,266,362x = 450,515,493 × 450,515,493
  4. Step 4: Simplify right side
    209,266,362x = 202,964,209,433,033,056
  5. Step 5: Solve for x
    x = 202,964,209,433,033,056/209,266,362
  6. Step 6: Final answer
    x = 969,884,540.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.