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Finding the Third Proportional to 270,218,799 and 589,986,269

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Solution

The third proportional to 270,218,799 and 589,986,269 is: 1,288,155,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,218,799 : 589,986,269 = 589,986,269 : x
  2. Step 2: Convert to fraction form
    270,218,799/589,986,269 = 589,986,269/x
  3. Step 3: Cross multiply
    270,218,799x = 589,986,269 × 589,986,269
  4. Step 4: Simplify right side
    270,218,799x = 348,083,797,608,540,352
  5. Step 5: Solve for x
    x = 348,083,797,608,540,352/270,218,799
  6. Step 6: Final answer
    x = 1,288,155,372.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.