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Finding the Third Proportional to 177,356,250.84 and 414,384,229.69

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Solution

The third proportional to 177,356,250.84 and 414,384,229.69 is: 968,188,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,356,250.84 : 414,384,229.69 = 414,384,229.69 : x
  2. Step 2: Convert to fraction form
    177,356,250.84/414,384,229.69 = 414,384,229.69/x
  3. Step 3: Cross multiply
    177,356,250.84x = 414,384,229.69 × 414,384,229.69
  4. Step 4: Simplify right side
    177,356,250.84x = 171,714,289,813,702,752
  5. Step 5: Solve for x
    x = 171,714,289,813,702,752/177,356,250.84
  6. Step 6: Final answer
    x = 968,188,541.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.