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Finding the Third Proportional to 125,196,231 and 267,622,014

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Solution

The third proportional to 125,196,231 and 267,622,014 is: 572,074,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,196,231 : 267,622,014 = 267,622,014 : x
  2. Step 2: Convert to fraction form
    125,196,231/267,622,014 = 267,622,014/x
  3. Step 3: Cross multiply
    125,196,231x = 267,622,014 × 267,622,014
  4. Step 4: Simplify right side
    125,196,231x = 71,621,542,377,416,192
  5. Step 5: Solve for x
    x = 71,621,542,377,416,192/125,196,231
  6. Step 6: Final answer
    x = 572,074,269.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.