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Finding the Third Proportional to 89,083.13 and 192,090.38

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Solution

The third proportional to 89,083.13 and 192,090.38 is: 414,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,083.13 : 192,090.38 = 192,090.38 : x
  2. Step 2: Convert to fraction form
    89,083.13/192,090.38 = 192,090.38/x
  3. Step 3: Cross multiply
    89,083.13x = 192,090.38 × 192,090.38
  4. Step 4: Simplify right side
    89,083.13x = 36,898,712,167.64
  5. Step 5: Solve for x
    x = 36,898,712,167.64/89,083.13
  6. Step 6: Final answer
    x = 414,205.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.