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Finding the Third Proportional to 135,854,552 and 298,398,288

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Solution

The third proportional to 135,854,552 and 298,398,288 is: 655,418,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,854,552 : 298,398,288 = 298,398,288 : x
  2. Step 2: Convert to fraction form
    135,854,552/298,398,288 = 298,398,288/x
  3. Step 3: Cross multiply
    135,854,552x = 298,398,288 × 298,398,288
  4. Step 4: Simplify right side
    135,854,552x = 89,041,538,281,330,944
  5. Step 5: Solve for x
    x = 89,041,538,281,330,944/135,854,552
  6. Step 6: Final answer
    x = 655,418,143.67

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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.