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Finding the Third Proportional to 83,929,912 and 180,614,406

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Solution

The third proportional to 83,929,912 and 180,614,406 is: 388,676,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,929,912 : 180,614,406 = 180,614,406 : x
  2. Step 2: Convert to fraction form
    83,929,912/180,614,406 = 180,614,406/x
  3. Step 3: Cross multiply
    83,929,912x = 180,614,406 × 180,614,406
  4. Step 4: Simplify right side
    83,929,912x = 32,621,563,654,732,836
  5. Step 5: Solve for x
    x = 32,621,563,654,732,836/83,929,912
  6. Step 6: Final answer
    x = 388,676,252.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.