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Finding the Third Proportional to 167,204,906 and 349,655,511

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Solution

The third proportional to 167,204,906 and 349,655,511 is: 731,192,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,204,906 : 349,655,511 = 349,655,511 : x
  2. Step 2: Convert to fraction form
    167,204,906/349,655,511 = 349,655,511/x
  3. Step 3: Cross multiply
    167,204,906x = 349,655,511 × 349,655,511
  4. Step 4: Simplify right side
    167,204,906x = 122,258,976,372,671,120
  5. Step 5: Solve for x
    x = 122,258,976,372,671,120/167,204,906
  6. Step 6: Final answer
    x = 731,192,518.79

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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.