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Finding the Third Proportional to 89,687 and 190,309

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Solution

The third proportional to 89,687 and 190,309 is: 403,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,687 : 190,309 = 190,309 : x
  2. Step 2: Convert to fraction form
    89,687/190,309 = 190,309/x
  3. Step 3: Cross multiply
    89,687x = 190,309 × 190,309
  4. Step 4: Simplify right side
    89,687x = 36,217,515,481
  5. Step 5: Solve for x
    x = 36,217,515,481/89,687
  6. Step 6: Final answer
    x = 403,821.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.