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Finding the Third Proportional to 144,991,384 and 219,592,936

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Solution

The third proportional to 144,991,384 and 219,592,936 is: 332,578,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,991,384 : 219,592,936 = 219,592,936 : x
  2. Step 2: Convert to fraction form
    144,991,384/219,592,936 = 219,592,936/x
  3. Step 3: Cross multiply
    144,991,384x = 219,592,936 × 219,592,936
  4. Step 4: Simplify right side
    144,991,384x = 48,221,057,541,100,096
  5. Step 5: Solve for x
    x = 48,221,057,541,100,096/144,991,384
  6. Step 6: Final answer
    x = 332,578,779.59

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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.