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Finding the Third Proportional to 89,972.44 and 196,894.13

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Solution

The third proportional to 89,972.44 and 196,894.13 is: 430,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,972.44 : 196,894.13 = 196,894.13 : x
  2. Step 2: Convert to fraction form
    89,972.44/196,894.13 = 196,894.13/x
  3. Step 3: Cross multiply
    89,972.44x = 196,894.13 × 196,894.13
  4. Step 4: Simplify right side
    89,972.44x = 38,767,296,459.52
  5. Step 5: Solve for x
    x = 38,767,296,459.52/89,972.44
  6. Step 6: Final answer
    x = 430,879.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.