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Finding the Third Proportional to 167,204,649 and 349,655,013

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Solution

The third proportional to 167,204,649 and 349,655,013 is: 731,191,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,204,649 : 349,655,013 = 349,655,013 : x
  2. Step 2: Convert to fraction form
    167,204,649/349,655,013 = 349,655,013/x
  3. Step 3: Cross multiply
    167,204,649x = 349,655,013 × 349,655,013
  4. Step 4: Simplify right side
    167,204,649x = 122,258,628,116,030,176
  5. Step 5: Solve for x
    x = 122,258,628,116,030,176/167,204,649
  6. Step 6: Final answer
    x = 731,191,559.85

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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.