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Finding the Third Proportional to 224,816,425.50 and 337,224,615.75

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Solution

The third proportional to 224,816,425.50 and 337,224,615.75 is: 505,836,889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,816,425.50 : 337,224,615.75 = 337,224,615.75 : x
  2. Step 2: Convert to fraction form
    224,816,425.50/337,224,615.75 = 337,224,615.75/x
  3. Step 3: Cross multiply
    224,816,425.50x = 337,224,615.75 × 337,224,615.75
  4. Step 4: Simplify right side
    224,816,425.50x = 113,720,441,467,735,152
  5. Step 5: Solve for x
    x = 113,720,441,467,735,152/224,816,425.50
  6. Step 6: Final answer
    x = 505,836,889.88

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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.