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Finding the Third Proportional to 83,178,120 and 185,481,504

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Solution

The third proportional to 83,178,120 and 185,481,504 is: 413,611,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,120 : 185,481,504 = 185,481,504 : x
  2. Step 2: Convert to fraction form
    83,178,120/185,481,504 = 185,481,504/x
  3. Step 3: Cross multiply
    83,178,120x = 185,481,504 × 185,481,504
  4. Step 4: Simplify right side
    83,178,120x = 34,403,388,326,102,016
  5. Step 5: Solve for x
    x = 34,403,388,326,102,016/83,178,120
  6. Step 6: Final answer
    x = 413,611,035.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.