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Finding the Third Proportional to 89,484.75 and 192,987

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Solution

The third proportional to 89,484.75 and 192,987 is: 416,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,484.75 : 192,987 = 192,987 : x
  2. Step 2: Convert to fraction form
    89,484.75/192,987 = 192,987/x
  3. Step 3: Cross multiply
    89,484.75x = 192,987 × 192,987
  4. Step 4: Simplify right side
    89,484.75x = 37,243,982,169
  5. Step 5: Solve for x
    x = 37,243,982,169/89,484.75
  6. Step 6: Final answer
    x = 416,204.80

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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.