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Finding the Third Proportional to 155,476,224 and 340,240,896

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Solution

The third proportional to 155,476,224 and 340,240,896 is: 744,576,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,476,224 : 340,240,896 = 340,240,896 : x
  2. Step 2: Convert to fraction form
    155,476,224/340,240,896 = 340,240,896/x
  3. Step 3: Cross multiply
    155,476,224x = 340,240,896 × 340,240,896
  4. Step 4: Simplify right side
    155,476,224x = 115,763,867,310,882,816
  5. Step 5: Solve for x
    x = 115,763,867,310,882,816/155,476,224
  6. Step 6: Final answer
    x = 744,576,015.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.