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Finding the Third Proportional to 93,029 and 203,446

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Solution

The third proportional to 93,029 and 203,446 is: 444,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,029 : 203,446 = 203,446 : x
  2. Step 2: Convert to fraction form
    93,029/203,446 = 203,446/x
  3. Step 3: Cross multiply
    93,029x = 203,446 × 203,446
  4. Step 4: Simplify right side
    93,029x = 41,390,274,916
  5. Step 5: Solve for x
    x = 41,390,274,916/93,029
  6. Step 6: Final answer
    x = 444,917.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.