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Finding the Third Proportional to 224,816,434 and 337,224,630

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Solution

The third proportional to 224,816,434 and 337,224,630 is: 505,836,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,816,434 : 337,224,630 = 337,224,630 : x
  2. Step 2: Convert to fraction form
    224,816,434/337,224,630 = 337,224,630/x
  3. Step 3: Cross multiply
    224,816,434x = 337,224,630 × 337,224,630
  4. Step 4: Simplify right side
    224,816,434x = 113,720,451,078,636,896
  5. Step 5: Solve for x
    x = 113,720,451,078,636,896/224,816,434
  6. Step 6: Final answer
    x = 505,836,913.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.