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Finding the Third Proportional to 89,645.64 and 195,063.03

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Solution

The third proportional to 89,645.64 and 195,063.03 is: 424,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,645.64 : 195,063.03 = 195,063.03 : x
  2. Step 2: Convert to fraction form
    89,645.64/195,063.03 = 195,063.03/x
  3. Step 3: Cross multiply
    89,645.64x = 195,063.03 × 195,063.03
  4. Step 4: Simplify right side
    89,645.64x = 38,049,585,398.48
  5. Step 5: Solve for x
    x = 38,049,585,398.48/89,645.64
  6. Step 6: Final answer
    x = 424,444.34

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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.