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Finding the Third Proportional to 156,619,036 and 343,355,824

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Solution

The third proportional to 156,619,036 and 343,355,824 is: 752,738,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,619,036 : 343,355,824 = 343,355,824 : x
  2. Step 2: Convert to fraction form
    156,619,036/343,355,824 = 343,355,824/x
  3. Step 3: Cross multiply
    156,619,036x = 343,355,824 × 343,355,824
  4. Step 4: Simplify right side
    156,619,036x = 117,893,221,874,718,976
  5. Step 5: Solve for x
    x = 117,893,221,874,718,976/156,619,036
  6. Step 6: Final answer
    x = 752,738,778.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.