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Finding the Third Proportional to 123,145,870.50 and 267,725,961

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Solution

The third proportional to 123,145,870.50 and 267,725,961 is: 582,051,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,145,870.50 : 267,725,961 = 267,725,961 : x
  2. Step 2: Convert to fraction form
    123,145,870.50/267,725,961 = 267,725,961/x
  3. Step 3: Cross multiply
    123,145,870.50x = 267,725,961 × 267,725,961
  4. Step 4: Simplify right side
    123,145,870.50x = 71,677,190,193,373,520
  5. Step 5: Solve for x
    x = 71,677,190,193,373,520/123,145,870.50
  6. Step 6: Final answer
    x = 582,051,106.56

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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.