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Finding the Third Proportional to 89,309 and 190,900

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Solution

The third proportional to 89,309 and 190,900 is: 408,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,309 : 190,900 = 190,900 : x
  2. Step 2: Convert to fraction form
    89,309/190,900 = 190,900/x
  3. Step 3: Cross multiply
    89,309x = 190,900 × 190,900
  4. Step 4: Simplify right side
    89,309x = 36,442,810,000
  5. Step 5: Solve for x
    x = 36,442,810,000/89,309
  6. Step 6: Final answer
    x = 408,053.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.