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Finding the Third Proportional to 178,305,349.50 and 388,265,166

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Solution

The third proportional to 178,305,349.50 and 388,265,166 is: 845,458,869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,305,349.50 : 388,265,166 = 388,265,166 : x
  2. Step 2: Convert to fraction form
    178,305,349.50/388,265,166 = 388,265,166/x
  3. Step 3: Cross multiply
    178,305,349.50x = 388,265,166 × 388,265,166
  4. Step 4: Simplify right side
    178,305,349.50x = 150,749,839,129,007,552
  5. Step 5: Solve for x
    x = 150,749,839,129,007,552/178,305,349.50
  6. Step 6: Final answer
    x = 845,458,869.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.