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Finding the Third Proportional to 167,029,776 and 255,536,856

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Solution

The third proportional to 167,029,776 and 255,536,856 is: 390,942,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,029,776 : 255,536,856 = 255,536,856 : x
  2. Step 2: Convert to fraction form
    167,029,776/255,536,856 = 255,536,856/x
  3. Step 3: Cross multiply
    167,029,776x = 255,536,856 × 255,536,856
  4. Step 4: Simplify right side
    167,029,776x = 65,299,084,774,364,736
  5. Step 5: Solve for x
    x = 65,299,084,774,364,736/167,029,776
  6. Step 6: Final answer
    x = 390,942,778.82

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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.