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Finding the Third Proportional to 125,196,237 and 267,622,026

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Solution

The third proportional to 125,196,237 and 267,622,026 is: 572,074,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,196,237 : 267,622,026 = 267,622,026 : x
  2. Step 2: Convert to fraction form
    125,196,237/267,622,026 = 267,622,026/x
  3. Step 3: Cross multiply
    125,196,237x = 267,622,026 × 267,622,026
  4. Step 4: Simplify right side
    125,196,237x = 71,621,548,800,344,672
  5. Step 5: Solve for x
    x = 71,621,548,800,344,672/125,196,237
  6. Step 6: Final answer
    x = 572,074,293.26

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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.