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Finding the Third Proportional to 135,852,824 and 298,394,320

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Solution

The third proportional to 135,852,824 and 298,394,320 is: 655,409,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,852,824 : 298,394,320 = 298,394,320 : x
  2. Step 2: Convert to fraction form
    135,852,824/298,394,320 = 298,394,320/x
  3. Step 3: Cross multiply
    135,852,824x = 298,394,320 × 298,394,320
  4. Step 4: Simplify right side
    135,852,824x = 89,039,170,208,262,400
  5. Step 5: Solve for x
    x = 89,039,170,208,262,400/135,852,824
  6. Step 6: Final answer
    x = 655,409,049.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.