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Finding the Third Proportional to 164,587,205.25 and 225,693,879.75

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Solution

The third proportional to 164,587,205.25 and 225,693,879.75 is: 309,487,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,587,205.25 : 225,693,879.75 = 225,693,879.75 : x
  2. Step 2: Convert to fraction form
    164,587,205.25/225,693,879.75 = 225,693,879.75/x
  3. Step 3: Cross multiply
    164,587,205.25x = 225,693,879.75 × 225,693,879.75
  4. Step 4: Simplify right side
    164,587,205.25x = 50,937,727,356,607,464
  5. Step 5: Solve for x
    x = 50,937,727,356,607,464/164,587,205.25
  6. Step 6: Final answer
    x = 309,487,771.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.