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Finding the Third Proportional to 93,994 and 203,570

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Solution

The third proportional to 93,994 and 203,570 is: 440,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,994 : 203,570 = 203,570 : x
  2. Step 2: Convert to fraction form
    93,994/203,570 = 203,570/x
  3. Step 3: Cross multiply
    93,994x = 203,570 × 203,570
  4. Step 4: Simplify right side
    93,994x = 41,440,744,900
  5. Step 5: Solve for x
    x = 41,440,744,900/93,994
  6. Step 6: Final answer
    x = 440,887.13

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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.