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Finding the Third Proportional to 93,388 and 215,974

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Solution

The third proportional to 93,388 and 215,974 is: 499,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,388 : 215,974 = 215,974 : x
  2. Step 2: Convert to fraction form
    93,388/215,974 = 215,974/x
  3. Step 3: Cross multiply
    93,388x = 215,974 × 215,974
  4. Step 4: Simplify right side
    93,388x = 46,644,768,676
  5. Step 5: Solve for x
    x = 46,644,768,676/93,388
  6. Step 6: Final answer
    x = 499,472.83

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.