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Finding the Third Proportional to 166,276,199.50 and 233,856,350

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Solution

The third proportional to 166,276,199.50 and 233,856,350 is: 328,903,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,276,199.50 : 233,856,350 = 233,856,350 : x
  2. Step 2: Convert to fraction form
    166,276,199.50/233,856,350 = 233,856,350/x
  3. Step 3: Cross multiply
    166,276,199.50x = 233,856,350 × 233,856,350
  4. Step 4: Simplify right side
    166,276,199.50x = 54,688,792,435,322,496
  5. Step 5: Solve for x
    x = 54,688,792,435,322,496/166,276,199.50
  6. Step 6: Final answer
    x = 328,903,310.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.