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Finding the Third Proportional to 85,574.92 and 197,214.43

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Solution

The third proportional to 85,574.92 and 197,214.43 is: 454,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,574.92 : 197,214.43 = 197,214.43 : x
  2. Step 2: Convert to fraction form
    85,574.92/197,214.43 = 197,214.43/x
  3. Step 3: Cross multiply
    85,574.92x = 197,214.43 × 197,214.43
  4. Step 4: Simplify right side
    85,574.92x = 38,893,532,817.70
  5. Step 5: Solve for x
    x = 38,893,532,817.70/85,574.92
  6. Step 6: Final answer
    x = 454,496.88

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.