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Finding the Third Proportional to 86,244,064 and 129,233,256

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Solution

The third proportional to 86,244,064 and 129,233,256 is: 193,650,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,244,064 : 129,233,256 = 129,233,256 : x
  2. Step 2: Convert to fraction form
    86,244,064/129,233,256 = 129,233,256/x
  3. Step 3: Cross multiply
    86,244,064x = 129,233,256 × 129,233,256
  4. Step 4: Simplify right side
    86,244,064x = 16,701,234,456,361,536
  5. Step 5: Solve for x
    x = 16,701,234,456,361,536/86,244,064
  6. Step 6: Final answer
    x = 193,650,828.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.