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Finding the Third Proportional to 135,854,528 and 298,398,232

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Solution

The third proportional to 135,854,528 and 298,398,232 is: 655,418,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,854,528 : 298,398,232 = 298,398,232 : x
  2. Step 2: Convert to fraction form
    135,854,528/298,398,232 = 298,398,232/x
  3. Step 3: Cross multiply
    135,854,528x = 298,398,232 × 298,398,232
  4. Step 4: Simplify right side
    135,854,528x = 89,041,504,860,725,824
  5. Step 5: Solve for x
    x = 89,041,504,860,725,824/135,854,528
  6. Step 6: Final answer
    x = 655,418,013.46

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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.