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Finding the Third Proportional to 111,552.63 and 217,500.50

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Solution

The third proportional to 111,552.63 and 217,500.50 is: 424,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,552.63 : 217,500.50 = 217,500.50 : x
  2. Step 2: Convert to fraction form
    111,552.63/217,500.50 = 217,500.50/x
  3. Step 3: Cross multiply
    111,552.63x = 217,500.50 × 217,500.50
  4. Step 4: Simplify right side
    111,552.63x = 47,306,467,500.25
  5. Step 5: Solve for x
    x = 47,306,467,500.25/111,552.63
  6. Step 6: Final answer
    x = 424,073.10

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.