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Finding the Third Proportional to 44,567 and 97,882.75

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Solution

The third proportional to 44,567 and 97,882.75 is: 214,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,567 : 97,882.75 = 97,882.75 : x
  2. Step 2: Convert to fraction form
    44,567/97,882.75 = 97,882.75/x
  3. Step 3: Cross multiply
    44,567x = 97,882.75 × 97,882.75
  4. Step 4: Simplify right side
    44,567x = 9,581,032,747.56
  5. Step 5: Solve for x
    x = 9,581,032,747.56/44,567
  6. Step 6: Final answer
    x = 214,980.43

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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.