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Finding the Third Proportional to 175,969,978.25 and 258,567,891.75

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Solution

The third proportional to 175,969,978.25 and 258,567,891.75 is: 379,936,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,969,978.25 : 258,567,891.75 = 258,567,891.75 : x
  2. Step 2: Convert to fraction form
    175,969,978.25/258,567,891.75 = 258,567,891.75/x
  3. Step 3: Cross multiply
    175,969,978.25x = 258,567,891.75 × 258,567,891.75
  4. Step 4: Simplify right side
    175,969,978.25x = 66,857,354,644,039,720
  5. Step 5: Solve for x
    x = 66,857,354,644,039,720/175,969,978.25
  6. Step 6: Final answer
    x = 379,936,142.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.