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Finding the Third Proportional to 93,989 and 206,671

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Solution

The third proportional to 93,989 and 206,671 is: 454,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,989 : 206,671 = 206,671 : x
  2. Step 2: Convert to fraction form
    93,989/206,671 = 206,671/x
  3. Step 3: Cross multiply
    93,989x = 206,671 × 206,671
  4. Step 4: Simplify right side
    93,989x = 42,712,902,241
  5. Step 5: Solve for x
    x = 42,712,902,241/93,989
  6. Step 6: Final answer
    x = 454,445.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.