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Finding the Third Proportional to 224,816,436.56 and 337,224,632.06

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Solution

The third proportional to 224,816,436.56 and 337,224,632.06 is: 505,836,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,816,436.56 : 337,224,632.06 = 337,224,632.06 : x
  2. Step 2: Convert to fraction form
    224,816,436.56/337,224,632.06 = 337,224,632.06/x
  3. Step 3: Cross multiply
    224,816,436.56x = 337,224,632.06 × 337,224,632.06
  4. Step 4: Simplify right side
    224,816,436.56x = 113,720,452,469,688,496
  5. Step 5: Solve for x
    x = 113,720,452,469,688,496/224,816,436.56
  6. Step 6: Final answer
    x = 505,836,913.92

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