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Finding the Third Proportional to 46,469 and 102,213

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Solution

The third proportional to 46,469 and 102,213 is: 224,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469 : 102,213 = 102,213 : x
  2. Step 2: Convert to fraction form
    46,469/102,213 = 102,213/x
  3. Step 3: Cross multiply
    46,469x = 102,213 × 102,213
  4. Step 4: Simplify right side
    46,469x = 10,447,497,369
  5. Step 5: Solve for x
    x = 10,447,497,369/46,469
  6. Step 6: Final answer
    x = 224,827.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.