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Finding the Third Proportional to 200,321,075.25 and 434,904,876

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Solution

The third proportional to 200,321,075.25 and 434,904,876 is: 944,195,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,321,075.25 : 434,904,876 = 434,904,876 : x
  2. Step 2: Convert to fraction form
    200,321,075.25/434,904,876 = 434,904,876/x
  3. Step 3: Cross multiply
    200,321,075.25x = 434,904,876 × 434,904,876
  4. Step 4: Simplify right side
    200,321,075.25x = 189,142,251,168,575,360
  5. Step 5: Solve for x
    x = 189,142,251,168,575,360/200,321,075.25
  6. Step 6: Final answer
    x = 944,195,466.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.