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Finding the Third Proportional to 123,672,530 and 268,655,188

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Solution

The third proportional to 123,672,530 and 268,655,188 is: 583,602,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,672,530 : 268,655,188 = 268,655,188 : x
  2. Step 2: Convert to fraction form
    123,672,530/268,655,188 = 268,655,188/x
  3. Step 3: Cross multiply
    123,672,530x = 268,655,188 × 268,655,188
  4. Step 4: Simplify right side
    123,672,530x = 72,175,610,039,315,344
  5. Step 5: Solve for x
    x = 72,175,610,039,315,344/123,672,530
  6. Step 6: Final answer
    x = 583,602,599.86

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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.