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Finding the Third Proportional to 167,029,806 and 255,536,901

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Solution

The third proportional to 167,029,806 and 255,536,901 is: 390,942,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,029,806 : 255,536,901 = 255,536,901 : x
  2. Step 2: Convert to fraction form
    167,029,806/255,536,901 = 255,536,901/x
  3. Step 3: Cross multiply
    167,029,806x = 255,536,901 × 255,536,901
  4. Step 4: Simplify right side
    167,029,806x = 65,299,107,772,683,800
  5. Step 5: Solve for x
    x = 65,299,107,772,683,800/167,029,806
  6. Step 6: Final answer
    x = 390,942,846.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.