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Finding the Third Proportional to 80,669,898 and 121,965,264

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Solution

The third proportional to 80,669,898 and 121,965,264 is: 184,399,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,669,898 : 121,965,264 = 121,965,264 : x
  2. Step 2: Convert to fraction form
    80,669,898/121,965,264 = 121,965,264/x
  3. Step 3: Cross multiply
    80,669,898x = 121,965,264 × 121,965,264
  4. Step 4: Simplify right side
    80,669,898x = 14,875,525,622,589,696
  5. Step 5: Solve for x
    x = 14,875,525,622,589,696/80,669,898
  6. Step 6: Final answer
    x = 184,399,955.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.