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Finding the Third Proportional to 72,382,184 and 157,770,736

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Solution

The third proportional to 72,382,184 and 157,770,736 is: 343,891,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,382,184 : 157,770,736 = 157,770,736 : x
  2. Step 2: Convert to fraction form
    72,382,184/157,770,736 = 157,770,736/x
  3. Step 3: Cross multiply
    72,382,184x = 157,770,736 × 157,770,736
  4. Step 4: Simplify right side
    72,382,184x = 24,891,605,137,981,696
  5. Step 5: Solve for x
    x = 24,891,605,137,981,696/72,382,184
  6. Step 6: Final answer
    x = 343,891,324.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.