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Finding the Third Proportional to 204,540,218 and 439,437,932

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Solution

The third proportional to 204,540,218 and 439,437,932 is: 944,096,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,540,218 : 439,437,932 = 439,437,932 : x
  2. Step 2: Convert to fraction form
    204,540,218/439,437,932 = 439,437,932/x
  3. Step 3: Cross multiply
    204,540,218x = 439,437,932 × 439,437,932
  4. Step 4: Simplify right side
    204,540,218x = 193,105,696,080,436,608
  5. Step 5: Solve for x
    x = 193,105,696,080,436,608/204,540,218
  6. Step 6: Final answer
    x = 944,096,461.66

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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.