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Finding the Third Proportional to 97,796 and 146,911

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Solution

The third proportional to 97,796 and 146,911 is: 220,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,796 : 146,911 = 146,911 : x
  2. Step 2: Convert to fraction form
    97,796/146,911 = 146,911/x
  3. Step 3: Cross multiply
    97,796x = 146,911 × 146,911
  4. Step 4: Simplify right side
    97,796x = 21,582,841,921
  5. Step 5: Solve for x
    x = 21,582,841,921/97,796
  6. Step 6: Final answer
    x = 220,692.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.