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Finding the Third Proportional to 178,577,484.75 and 384,521,583.75

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Solution

The third proportional to 178,577,484.75 and 384,521,583.75 is: 827,970,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,577,484.75 : 384,521,583.75 = 384,521,583.75 : x
  2. Step 2: Convert to fraction form
    178,577,484.75/384,521,583.75 = 384,521,583.75/x
  3. Step 3: Cross multiply
    178,577,484.75x = 384,521,583.75 × 384,521,583.75
  4. Step 4: Simplify right side
    178,577,484.75x = 147,856,848,369,608,256
  5. Step 5: Solve for x
    x = 147,856,848,369,608,256/178,577,484.75
  6. Step 6: Final answer
    x = 827,970,270.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.