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Finding the Third Proportional to 47,830.78 and 104,273.16

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Solution

The third proportional to 47,830.78 and 104,273.16 is: 227,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,830.78 : 104,273.16 = 104,273.16 : x
  2. Step 2: Convert to fraction form
    47,830.78/104,273.16 = 104,273.16/x
  3. Step 3: Cross multiply
    47,830.78x = 104,273.16 × 104,273.16
  4. Step 4: Simplify right side
    47,830.78x = 10,872,891,114.34
  5. Step 5: Solve for x
    x = 10,872,891,114.34/47,830.78
  6. Step 6: Final answer
    x = 227,319.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.