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Finding the Third Proportional to 89,877.94 and 195,842.81

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Solution

The third proportional to 89,877.94 and 195,842.81 is: 426,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,877.94 : 195,842.81 = 195,842.81 : x
  2. Step 2: Convert to fraction form
    89,877.94/195,842.81 = 195,842.81/x
  3. Step 3: Cross multiply
    89,877.94x = 195,842.81 × 195,842.81
  4. Step 4: Simplify right side
    89,877.94x = 38,354,407,207.91
  5. Step 5: Solve for x
    x = 38,354,407,207.91/89,877.94
  6. Step 6: Final answer
    x = 426,738.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.