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Finding the Third Proportional to 150,623,568 and 232,751,821.50

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Solution

The third proportional to 150,623,568 and 232,751,821.50 is: 359,660,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,623,568 : 232,751,821.50 = 232,751,821.50 : x
  2. Step 2: Convert to fraction form
    150,623,568/232,751,821.50 = 232,751,821.50/x
  3. Step 3: Cross multiply
    150,623,568x = 232,751,821.50 × 232,751,821.50
  4. Step 4: Simplify right side
    150,623,568x = 54,173,410,411,567,864
  5. Step 5: Solve for x
    x = 54,173,410,411,567,864/150,623,568
  6. Step 6: Final answer
    x = 359,660,915.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.