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Finding the Third Proportional to 164,580,096 and 224,165,736

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Solution

The third proportional to 164,580,096 and 224,165,736 is: 305,324,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,580,096 : 224,165,736 = 224,165,736 : x
  2. Step 2: Convert to fraction form
    164,580,096/224,165,736 = 224,165,736/x
  3. Step 3: Cross multiply
    164,580,096x = 224,165,736 × 224,165,736
  4. Step 4: Simplify right side
    164,580,096x = 50,250,277,196,421,696
  5. Step 5: Solve for x
    x = 50,250,277,196,421,696/164,580,096
  6. Step 6: Final answer
    x = 305,324,145.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.