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Finding the Third Proportional to 105,502,608 and 224,940,672

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Solution

The third proportional to 105,502,608 and 224,940,672 is: 479,592,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,502,608 : 224,940,672 = 224,940,672 : x
  2. Step 2: Convert to fraction form
    105,502,608/224,940,672 = 224,940,672/x
  3. Step 3: Cross multiply
    105,502,608x = 224,940,672 × 224,940,672
  4. Step 4: Simplify right side
    105,502,608x = 50,598,305,919,811,584
  5. Step 5: Solve for x
    x = 50,598,305,919,811,584/105,502,608
  6. Step 6: Final answer
    x = 479,592,939.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.