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Finding the Third Proportional to 102,093,819.75 and 224,025,147

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Solution

The third proportional to 102,093,819.75 and 224,025,147 is: 491,579,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,093,819.75 : 224,025,147 = 224,025,147 : x
  2. Step 2: Convert to fraction form
    102,093,819.75/224,025,147 = 224,025,147/x
  3. Step 3: Cross multiply
    102,093,819.75x = 224,025,147 × 224,025,147
  4. Step 4: Simplify right side
    102,093,819.75x = 50,187,266,488,371,608
  5. Step 5: Solve for x
    x = 50,187,266,488,371,608/102,093,819.75
  6. Step 6: Final answer
    x = 491,579,868.51

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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.