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Finding the Third Proportional to 86,442.19 and 200,044.69

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Solution

The third proportional to 86,442.19 and 200,044.69 is: 462,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,442.19 : 200,044.69 = 200,044.69 : x
  2. Step 2: Convert to fraction form
    86,442.19/200,044.69 = 200,044.69/x
  3. Step 3: Cross multiply
    86,442.19x = 200,044.69 × 200,044.69
  4. Step 4: Simplify right side
    86,442.19x = 40,017,876,996.97
  5. Step 5: Solve for x
    x = 40,017,876,996.97/86,442.19
  6. Step 6: Final answer
    x = 462,943.83

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.