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Finding the Third Proportional to 100,948,082 and 219,124,747.50

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Solution

The third proportional to 100,948,082 and 219,124,747.50 is: 475,647,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948,082 : 219,124,747.50 = 219,124,747.50 : x
  2. Step 2: Convert to fraction form
    100,948,082/219,124,747.50 = 219,124,747.50/x
  3. Step 3: Cross multiply
    100,948,082x = 219,124,747.50 × 219,124,747.50
  4. Step 4: Simplify right side
    100,948,082x = 48,015,654,966,938,760
  5. Step 5: Solve for x
    x = 48,015,654,966,938,760/100,948,082
  6. Step 6: Final answer
    x = 475,647,025.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.