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Finding the Third Proportional to 224,816,416.31 and 337,224,601.69

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Solution

The third proportional to 224,816,416.31 and 337,224,601.69 is: 505,836,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,816,416.31 : 337,224,601.69 = 337,224,601.69 : x
  2. Step 2: Convert to fraction form
    224,816,416.31/337,224,601.69 = 337,224,601.69/x
  3. Step 3: Cross multiply
    224,816,416.31x = 337,224,601.69 × 337,224,601.69
  4. Step 4: Simplify right side
    224,816,416.31x = 113,720,431,983,293,024
  5. Step 5: Solve for x
    x = 113,720,431,983,293,024/224,816,416.31
  6. Step 6: Final answer
    x = 505,836,868.36

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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.