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Finding the Third Proportional to 44,700 and 98,256

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Solution

The third proportional to 44,700 and 98,256 is: 215,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,700 : 98,256 = 98,256 : x
  2. Step 2: Convert to fraction form
    44,700/98,256 = 98,256/x
  3. Step 3: Cross multiply
    44,700x = 98,256 × 98,256
  4. Step 4: Simplify right side
    44,700x = 9,654,241,536
  5. Step 5: Solve for x
    x = 9,654,241,536/44,700
  6. Step 6: Final answer
    x = 215,978.56

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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.