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Finding the Third Proportional to 57,440,192 and 86,219,040

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Solution

The third proportional to 57,440,192 and 86,219,040 is: 129,416,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,440,192 : 86,219,040 = 86,219,040 : x
  2. Step 2: Convert to fraction form
    57,440,192/86,219,040 = 86,219,040/x
  3. Step 3: Cross multiply
    57,440,192x = 86,219,040 × 86,219,040
  4. Step 4: Simplify right side
    57,440,192x = 7,433,722,858,521,600
  5. Step 5: Solve for x
    x = 7,433,722,858,521,600/57,440,192
  6. Step 6: Final answer
    x = 129,416,748.09

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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.