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Finding the Third Proportional to 224,195,232.38 and 315,578,715.47

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Solution

The third proportional to 224,195,232.38 and 315,578,715.47 is: 444,210,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,195,232.38 : 315,578,715.47 = 315,578,715.47 : x
  2. Step 2: Convert to fraction form
    224,195,232.38/315,578,715.47 = 315,578,715.47/x
  3. Step 3: Cross multiply
    224,195,232.38x = 315,578,715.47 × 315,578,715.47
  4. Step 4: Simplify right side
    224,195,232.38x = 99,589,925,656,906,272
  5. Step 5: Solve for x
    x = 99,589,925,656,906,272/224,195,232.38
  6. Step 6: Final answer
    x = 444,210,720.28

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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.