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Finding the Third Proportional to 178,331,164 and 361,676,596

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Solution

The third proportional to 178,331,164 and 361,676,596 is: 733,522,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,331,164 : 361,676,596 = 361,676,596 : x
  2. Step 2: Convert to fraction form
    178,331,164/361,676,596 = 361,676,596/x
  3. Step 3: Cross multiply
    178,331,164x = 361,676,596 × 361,676,596
  4. Step 4: Simplify right side
    178,331,164x = 130,809,960,094,147,216
  5. Step 5: Solve for x
    x = 130,809,960,094,147,216/178,331,164
  6. Step 6: Final answer
    x = 733,522,717.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.