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Finding the Third Proportional to 93,979 and 221,774

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Solution

The third proportional to 93,979 and 221,774 is: 523,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,979 : 221,774 = 221,774 : x
  2. Step 2: Convert to fraction form
    93,979/221,774 = 221,774/x
  3. Step 3: Cross multiply
    93,979x = 221,774 × 221,774
  4. Step 4: Simplify right side
    93,979x = 49,183,707,076
  5. Step 5: Solve for x
    x = 49,183,707,076/93,979
  6. Step 6: Final answer
    x = 523,347.84

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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.