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Finding the Third Proportional to 100,905.75 and 237,861.56

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Solution

The third proportional to 100,905.75 and 237,861.56 is: 560,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,905.75 : 237,861.56 = 237,861.56 : x
  2. Step 2: Convert to fraction form
    100,905.75/237,861.56 = 237,861.56/x
  3. Step 3: Cross multiply
    100,905.75x = 237,861.56 × 237,861.56
  4. Step 4: Simplify right side
    100,905.75x = 56,578,122,914.94
  5. Step 5: Solve for x
    x = 56,578,122,914.94/100,905.75
  6. Step 6: Final answer
    x = 560,702.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.