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Finding the Third Proportional to 93,596 and 220,949

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Solution

The third proportional to 93,596 and 220,949 is: 521,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,596 : 220,949 = 220,949 : x
  2. Step 2: Convert to fraction form
    93,596/220,949 = 220,949/x
  3. Step 3: Cross multiply
    93,596x = 220,949 × 220,949
  4. Step 4: Simplify right side
    93,596x = 48,818,460,601
  5. Step 5: Solve for x
    x = 48,818,460,601/93,596
  6. Step 6: Final answer
    x = 521,587.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.