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Finding the Third Proportional to 103,026.94 and 217,277.44

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Solution

The third proportional to 103,026.94 and 217,277.44 is: 458,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,026.94 : 217,277.44 = 217,277.44 : x
  2. Step 2: Convert to fraction form
    103,026.94/217,277.44 = 217,277.44/x
  3. Step 3: Cross multiply
    103,026.94x = 217,277.44 × 217,277.44
  4. Step 4: Simplify right side
    103,026.94x = 47,209,484,846.57
  5. Step 5: Solve for x
    x = 47,209,484,846.57/103,026.94
  6. Step 6: Final answer
    x = 458,224.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.