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Finding the Third Proportional to 224,195,244 and 315,578,730

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Solution

The third proportional to 224,195,244 and 315,578,730 is: 444,210,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,195,244 : 315,578,730 = 315,578,730 : x
  2. Step 2: Convert to fraction form
    224,195,244/315,578,730 = 315,578,730/x
  3. Step 3: Cross multiply
    224,195,244x = 315,578,730 × 315,578,730
  4. Step 4: Simplify right side
    224,195,244x = 99,589,934,828,412,896
  5. Step 5: Solve for x
    x = 99,589,934,828,412,896/224,195,244
  6. Step 6: Final answer
    x = 444,210,738.16

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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.