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Finding the Third Proportional to 93,641 and 203,158

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Solution

The third proportional to 93,641 and 203,158 is: 440,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,641 : 203,158 = 203,158 : x
  2. Step 2: Convert to fraction form
    93,641/203,158 = 203,158/x
  3. Step 3: Cross multiply
    93,641x = 203,158 × 203,158
  4. Step 4: Simplify right side
    93,641x = 41,273,172,964
  5. Step 5: Solve for x
    x = 41,273,172,964/93,641
  6. Step 6: Final answer
    x = 440,759.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.