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Finding the Third Proportional to 97,936 and 219,840

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Solution

The third proportional to 97,936 and 219,840 is: 493,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,936 : 219,840 = 219,840 : x
  2. Step 2: Convert to fraction form
    97,936/219,840 = 219,840/x
  3. Step 3: Cross multiply
    97,936x = 219,840 × 219,840
  4. Step 4: Simplify right side
    97,936x = 48,329,625,600
  5. Step 5: Solve for x
    x = 48,329,625,600/97,936
  6. Step 6: Final answer
    x = 493,481.72

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.