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Finding the Third Proportional to 125,196,235 and 267,622,022

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Solution

The third proportional to 125,196,235 and 267,622,022 is: 572,074,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,196,235 : 267,622,022 = 267,622,022 : x
  2. Step 2: Convert to fraction form
    125,196,235/267,622,022 = 267,622,022/x
  3. Step 3: Cross multiply
    125,196,235x = 267,622,022 × 267,622,022
  4. Step 4: Simplify right side
    125,196,235x = 71,621,546,659,368,480
  5. Step 5: Solve for x
    x = 71,621,546,659,368,480/125,196,235
  6. Step 6: Final answer
    x = 572,074,285.30

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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.