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Finding the Third Proportional to 89,559 and 196,350.75

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Solution

The third proportional to 89,559 and 196,350.75 is: 430,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,559 : 196,350.75 = 196,350.75 : x
  2. Step 2: Convert to fraction form
    89,559/196,350.75 = 196,350.75/x
  3. Step 3: Cross multiply
    89,559x = 196,350.75 × 196,350.75
  4. Step 4: Simplify right side
    89,559x = 38,553,617,025.56
  5. Step 5: Solve for x
    x = 38,553,617,025.56/89,559
  6. Step 6: Final answer
    x = 430,482.89

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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.