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Finding the Third Proportional to 88,509.25 and 191,787.25

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Solution

The third proportional to 88,509.25 and 191,787.25 is: 415,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,509.25 : 191,787.25 = 191,787.25 : x
  2. Step 2: Convert to fraction form
    88,509.25/191,787.25 = 191,787.25/x
  3. Step 3: Cross multiply
    88,509.25x = 191,787.25 × 191,787.25
  4. Step 4: Simplify right side
    88,509.25x = 36,782,349,262.56
  5. Step 5: Solve for x
    x = 36,782,349,262.56/88,509.25
  6. Step 6: Final answer
    x = 415,576.33

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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.