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Finding the Third Proportional to 89,894.81 and 190,873.97

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Solution

The third proportional to 89,894.81 and 190,873.97 is: 405,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,894.81 : 190,873.97 = 190,873.97 : x
  2. Step 2: Convert to fraction form
    89,894.81/190,873.97 = 190,873.97/x
  3. Step 3: Cross multiply
    89,894.81x = 190,873.97 × 190,873.97
  4. Step 4: Simplify right side
    89,894.81x = 36,432,871,946.38
  5. Step 5: Solve for x
    x = 36,432,871,946.38/89,894.81
  6. Step 6: Final answer
    x = 405,283.36

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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.