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Finding the Third Proportional to 89,323.03 and 191,597.20

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Solution

The third proportional to 89,323.03 and 191,597.20 is: 410,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,323.03 : 191,597.20 = 191,597.20 : x
  2. Step 2: Convert to fraction form
    89,323.03/191,597.20 = 191,597.20/x
  3. Step 3: Cross multiply
    89,323.03x = 191,597.20 × 191,597.20
  4. Step 4: Simplify right side
    89,323.03x = 36,709,488,245.32
  5. Step 5: Solve for x
    x = 36,709,488,245.32/89,323.03
  6. Step 6: Final answer
    x = 410,974.50

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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.