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Finding the Third Proportional to 89,695 and 190,321

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Solution

The third proportional to 89,695 and 190,321 is: 403,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,695 : 190,321 = 190,321 : x
  2. Step 2: Convert to fraction form
    89,695/190,321 = 190,321/x
  3. Step 3: Cross multiply
    89,695x = 190,321 × 190,321
  4. Step 4: Simplify right side
    89,695x = 36,222,083,041
  5. Step 5: Solve for x
    x = 36,222,083,041/89,695
  6. Step 6: Final answer
    x = 403,836.15

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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.