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Finding the Third Proportional to 206,871,096 and 450,062,580

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Solution

The third proportional to 206,871,096 and 450,062,580 is: 979,142,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,871,096 : 450,062,580 = 450,062,580 : x
  2. Step 2: Convert to fraction form
    206,871,096/450,062,580 = 450,062,580/x
  3. Step 3: Cross multiply
    206,871,096x = 450,062,580 × 450,062,580
  4. Step 4: Simplify right side
    206,871,096x = 202,556,325,916,256,384
  5. Step 5: Solve for x
    x = 202,556,325,916,256,384/206,871,096
  6. Step 6: Final answer
    x = 979,142,711.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.