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Finding the Third Proportional to 178,331,152.50 and 361,676,571

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Solution

The third proportional to 178,331,152.50 and 361,676,571 is: 733,522,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,331,152.50 : 361,676,571 = 361,676,571 : x
  2. Step 2: Convert to fraction form
    178,331,152.50/361,676,571 = 361,676,571/x
  3. Step 3: Cross multiply
    178,331,152.50x = 361,676,571 × 361,676,571
  4. Step 4: Simplify right side
    178,331,152.50x = 130,809,942,010,318,048
  5. Step 5: Solve for x
    x = 130,809,942,010,318,048/178,331,152.50
  6. Step 6: Final answer
    x = 733,522,663.74

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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.