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Finding the Third Proportional to 44,472.38 and 97,692.75

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Solution

The third proportional to 44,472.38 and 97,692.75 is: 214,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,472.38 : 97,692.75 = 97,692.75 : x
  2. Step 2: Convert to fraction form
    44,472.38/97,692.75 = 97,692.75/x
  3. Step 3: Cross multiply
    44,472.38x = 97,692.75 × 97,692.75
  4. Step 4: Simplify right side
    44,472.38x = 9,543,873,402.56
  5. Step 5: Solve for x
    x = 9,543,873,402.56/44,472.38
  6. Step 6: Final answer
    x = 214,602.29

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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.