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Finding the Third Proportional to 167,204,769 and 349,655,247

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Solution

The third proportional to 167,204,769 and 349,655,247 is: 731,192,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,204,769 : 349,655,247 = 349,655,247 : x
  2. Step 2: Convert to fraction form
    167,204,769/349,655,247 = 349,655,247/x
  3. Step 3: Cross multiply
    167,204,769x = 349,655,247 × 349,655,247
  4. Step 4: Simplify right side
    167,204,769x = 122,258,791,754,631,008
  5. Step 5: Solve for x
    x = 122,258,791,754,631,008/167,204,769
  6. Step 6: Final answer
    x = 731,192,013.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.