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Finding the Third Proportional to 201,773,319 and 419,650,200

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Solution

The third proportional to 201,773,319 and 419,650,200 is: 872,792,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,773,319 : 419,650,200 = 419,650,200 : x
  2. Step 2: Convert to fraction form
    201,773,319/419,650,200 = 419,650,200/x
  3. Step 3: Cross multiply
    201,773,319x = 419,650,200 × 419,650,200
  4. Step 4: Simplify right side
    201,773,319x = 176,106,290,360,040,000
  5. Step 5: Solve for x
    x = 176,106,290,360,040,000/201,773,319
  6. Step 6: Final answer
    x = 872,792,751.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.