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Finding the Third Proportional to 88,873.50 and 190,882.50

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Solution

The third proportional to 88,873.50 and 190,882.50 is: 409,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,873.50 : 190,882.50 = 190,882.50 : x
  2. Step 2: Convert to fraction form
    88,873.50/190,882.50 = 190,882.50/x
  3. Step 3: Cross multiply
    88,873.50x = 190,882.50 × 190,882.50
  4. Step 4: Simplify right side
    88,873.50x = 36,436,128,806.25
  5. Step 5: Solve for x
    x = 36,436,128,806.25/88,873.50
  6. Step 6: Final answer
    x = 409,977.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.