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Finding the Third Proportional to 97,949 and 219,862

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Solution

The third proportional to 97,949 and 219,862 is: 493,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,949 : 219,862 = 219,862 : x
  2. Step 2: Convert to fraction form
    97,949/219,862 = 219,862/x
  3. Step 3: Cross multiply
    97,949x = 219,862 × 219,862
  4. Step 4: Simplify right side
    97,949x = 48,339,299,044
  5. Step 5: Solve for x
    x = 48,339,299,044/97,949
  6. Step 6: Final answer
    x = 493,514.98

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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.