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Finding the Third Proportional to 47,308 and 104,464

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Solution

The third proportional to 47,308 and 104,464 is: 230,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,308 : 104,464 = 104,464 : x
  2. Step 2: Convert to fraction form
    47,308/104,464 = 104,464/x
  3. Step 3: Cross multiply
    47,308x = 104,464 × 104,464
  4. Step 4: Simplify right side
    47,308x = 10,912,727,296
  5. Step 5: Solve for x
    x = 10,912,727,296/47,308
  6. Step 6: Final answer
    x = 230,674.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.