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Finding the Third Proportional to 197,672,934 and 289,232,910

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Solution

The third proportional to 197,672,934 and 289,232,910 is: 423,202,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,672,934 : 289,232,910 = 289,232,910 : x
  2. Step 2: Convert to fraction form
    197,672,934/289,232,910 = 289,232,910/x
  3. Step 3: Cross multiply
    197,672,934x = 289,232,910 × 289,232,910
  4. Step 4: Simplify right side
    197,672,934x = 83,655,676,227,068,096
  5. Step 5: Solve for x
    x = 83,655,676,227,068,096/197,672,934
  6. Step 6: Final answer
    x = 423,202,481.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.