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Finding the Third Proportional to 102,003.05 and 217,640.67

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Solution

The third proportional to 102,003.05 and 217,640.67 is: 464,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.05 : 217,640.67 = 217,640.67 : x
  2. Step 2: Convert to fraction form
    102,003.05/217,640.67 = 217,640.67/x
  3. Step 3: Cross multiply
    102,003.05x = 217,640.67 × 217,640.67
  4. Step 4: Simplify right side
    102,003.05x = 47,367,462,054.20
  5. Step 5: Solve for x
    x = 47,367,462,054.20/102,003.05
  6. Step 6: Final answer
    x = 464,373.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.