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Finding the Third Proportional to 95,861.81 and 145,784.67

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Solution

The third proportional to 95,861.81 and 145,784.67 is: 221,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,861.81 : 145,784.67 = 145,784.67 : x
  2. Step 2: Convert to fraction form
    95,861.81/145,784.67 = 145,784.67/x
  3. Step 3: Cross multiply
    95,861.81x = 145,784.67 × 145,784.67
  4. Step 4: Simplify right side
    95,861.81x = 21,253,170,553.70
  5. Step 5: Solve for x
    x = 21,253,170,553.70/95,861.81
  6. Step 6: Final answer
    x = 221,706.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.