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Finding the Third Proportional to 86,002.88 and 194,301.94

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Solution

The third proportional to 86,002.88 and 194,301.94 is: 438,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,002.88 : 194,301.94 = 194,301.94 : x
  2. Step 2: Convert to fraction form
    86,002.88/194,301.94 = 194,301.94/x
  3. Step 3: Cross multiply
    86,002.88x = 194,301.94 × 194,301.94
  4. Step 4: Simplify right side
    86,002.88x = 37,753,242,916.25
  5. Step 5: Solve for x
    x = 37,753,242,916.25/86,002.88
  6. Step 6: Final answer
    x = 438,976.52

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.