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Finding the Third Proportional to 93,230 and 203,014

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Solution

The third proportional to 93,230 and 203,014 is: 442,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,230 : 203,014 = 203,014 : x
  2. Step 2: Convert to fraction form
    93,230/203,014 = 203,014/x
  3. Step 3: Cross multiply
    93,230x = 203,014 × 203,014
  4. Step 4: Simplify right side
    93,230x = 41,214,684,196
  5. Step 5: Solve for x
    x = 41,214,684,196/93,230
  6. Step 6: Final answer
    x = 442,075.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.