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Finding the Third Proportional to 83,178,047 and 185,481,381

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Solution

The third proportional to 83,178,047 and 185,481,381 is: 413,610,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,047 : 185,481,381 = 185,481,381 : x
  2. Step 2: Convert to fraction form
    83,178,047/185,481,381 = 185,481,381/x
  3. Step 3: Cross multiply
    83,178,047x = 185,481,381 × 185,481,381
  4. Step 4: Simplify right side
    83,178,047x = 34,403,342,697,667,160
  5. Step 5: Solve for x
    x = 34,403,342,697,667,160/83,178,047
  6. Step 6: Final answer
    x = 413,610,849.72

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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.