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Finding the Third Proportional to 166,206,424,378.50 and 337,037,736,658.50

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Solution

The third proportional to 166,206,424,378.50 and 337,037,736,658.50 is: 683,453,942,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,206,424,378.50 : 337,037,736,658.50 = 337,037,736,658.50 : x
  2. Step 2: Convert to fraction form
    166,206,424,378.50/337,037,736,658.50 = 337,037,736,658.50/x
  3. Step 3: Cross multiply
    166,206,424,378.50x = 337,037,736,658.50 × 337,037,736,658.50
  4. Step 4: Simplify right side
    166,206,424,378.50x = 113,594,435,931,884,390,187,008
  5. Step 5: Solve for x
    x = 113,594,435,931,884,390,187,008/166,206,424,378.50
  6. Step 6: Final answer
    x = 683,453,942,028.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.