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Finding the Third Proportional to 150,311,424 and 230,319,360

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Solution

The third proportional to 150,311,424 and 230,319,360 is: 352,914,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,311,424 : 230,319,360 = 230,319,360 : x
  2. Step 2: Convert to fraction form
    150,311,424/230,319,360 = 230,319,360/x
  3. Step 3: Cross multiply
    150,311,424x = 230,319,360 × 230,319,360
  4. Step 4: Simplify right side
    150,311,424x = 53,047,007,590,809,600
  5. Step 5: Solve for x
    x = 53,047,007,590,809,600/150,311,424
  6. Step 6: Final answer
    x = 352,914,011.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.