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Finding the Third Proportional to 88,251.75 and 191,245.50

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Solution

The third proportional to 88,251.75 and 191,245.50 is: 414,437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,251.75 : 191,245.50 = 191,245.50 : x
  2. Step 2: Convert to fraction form
    88,251.75/191,245.50 = 191,245.50/x
  3. Step 3: Cross multiply
    88,251.75x = 191,245.50 × 191,245.50
  4. Step 4: Simplify right side
    88,251.75x = 36,574,841,270.25
  5. Step 5: Solve for x
    x = 36,574,841,270.25/88,251.75
  6. Step 6: Final answer
    x = 414,437.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.