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Finding the Third Proportional to 183,673,728,108 and 285,180,973,224

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Solution

The third proportional to 183,673,728,108 and 285,180,973,224 is: 442,786,174,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,673,728,108 : 285,180,973,224 = 285,180,973,224 : x
  2. Step 2: Convert to fraction form
    183,673,728,108/285,180,973,224 = 285,180,973,224/x
  3. Step 3: Cross multiply
    183,673,728,108x = 285,180,973,224 × 285,180,973,224
  4. Step 4: Simplify right side
    183,673,728,108x = 81,328,187,488,987,802,238,976
  5. Step 5: Solve for x
    x = 81,328,187,488,987,802,238,976/183,673,728,108
  6. Step 6: Final answer
    x = 442,786,174,847.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.