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Finding the Third Proportional to 80,683,824 and 121,108,356

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Solution

The third proportional to 80,683,824 and 121,108,356 is: 181,786,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,683,824 : 121,108,356 = 121,108,356 : x
  2. Step 2: Convert to fraction form
    80,683,824/121,108,356 = 121,108,356/x
  3. Step 3: Cross multiply
    80,683,824x = 121,108,356 × 121,108,356
  4. Step 4: Simplify right side
    80,683,824x = 14,667,233,893,022,736
  5. Step 5: Solve for x
    x = 14,667,233,893,022,736/80,683,824
  6. Step 6: Final answer
    x = 181,786,548.60

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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.