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Finding the Third Proportional to 164,558,794.50 and 342,737,676

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Solution

The third proportional to 164,558,794.50 and 342,737,676 is: 713,842,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,558,794.50 : 342,737,676 = 342,737,676 : x
  2. Step 2: Convert to fraction form
    164,558,794.50/342,737,676 = 342,737,676/x
  3. Step 3: Cross multiply
    164,558,794.50x = 342,737,676 × 342,737,676
  4. Step 4: Simplify right side
    164,558,794.50x = 117,469,114,549,880,976
  5. Step 5: Solve for x
    x = 117,469,114,549,880,976/164,558,794.50
  6. Step 6: Final answer
    x = 713,842,823.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.