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Finding the Third Proportional to 83,178,112 and 185,481,479

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Solution

The third proportional to 83,178,112 and 185,481,479 is: 413,610,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,112 : 185,481,479 = 185,481,479 : x
  2. Step 2: Convert to fraction form
    83,178,112/185,481,479 = 185,481,479/x
  3. Step 3: Cross multiply
    83,178,112x = 185,481,479 × 185,481,479
  4. Step 4: Simplify right side
    83,178,112x = 34,403,379,052,027,440
  5. Step 5: Solve for x
    x = 34,403,379,052,027,440/83,178,112
  6. Step 6: Final answer
    x = 413,610,963.57

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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.