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Finding the Third Proportional to 89,444.25 and 191,299.22

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Solution

The third proportional to 89,444.25 and 191,299.22 is: 409,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,444.25 : 191,299.22 = 191,299.22 : x
  2. Step 2: Convert to fraction form
    89,444.25/191,299.22 = 191,299.22/x
  3. Step 3: Cross multiply
    89,444.25x = 191,299.22 × 191,299.22
  4. Step 4: Simplify right side
    89,444.25x = 36,595,391,094.36
  5. Step 5: Solve for x
    x = 36,595,391,094.36/89,444.25
  6. Step 6: Final answer
    x = 409,141.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.