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Finding the Third Proportional to 83,178,171 and 185,481,586.13

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Solution

The third proportional to 83,178,171 and 185,481,586.13 is: 413,611,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,171 : 185,481,586.13 = 185,481,586.13 : x
  2. Step 2: Convert to fraction form
    83,178,171/185,481,586.13 = 185,481,586.13/x
  3. Step 3: Cross multiply
    83,178,171x = 185,481,586.13 × 185,481,586.13
  4. Step 4: Simplify right side
    83,178,171x = 34,403,418,791,445,792
  5. Step 5: Solve for x
    x = 34,403,418,791,445,792/83,178,171
  6. Step 6: Final answer
    x = 413,611,147.95

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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.