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Finding the Third Proportional to 88,857 and 212,442.75

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Solution

The third proportional to 88,857 and 212,442.75 is: 507,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,857 : 212,442.75 = 212,442.75 : x
  2. Step 2: Convert to fraction form
    88,857/212,442.75 = 212,442.75/x
  3. Step 3: Cross multiply
    88,857x = 212,442.75 × 212,442.75
  4. Step 4: Simplify right side
    88,857x = 45,131,922,027.56
  5. Step 5: Solve for x
    x = 45,131,922,027.56/88,857
  6. Step 6: Final answer
    x = 507,916.34

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.