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Finding the Third Proportional to 209,460,067.50 and 440,627,203.50

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Solution

The third proportional to 209,460,067.50 and 440,627,203.50 is: 926,918,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,460,067.50 : 440,627,203.50 = 440,627,203.50 : x
  2. Step 2: Convert to fraction form
    209,460,067.50/440,627,203.50 = 440,627,203.50/x
  3. Step 3: Cross multiply
    209,460,067.50x = 440,627,203.50 × 440,627,203.50
  4. Step 4: Simplify right side
    209,460,067.50x = 194,152,332,464,230,400
  5. Step 5: Solve for x
    x = 194,152,332,464,230,400/209,460,067.50
  6. Step 6: Final answer
    x = 926,918,122.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.