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Finding the Third Proportional to 93,020 and 203,775

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Solution

The third proportional to 93,020 and 203,775 is: 446,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,020 : 203,775 = 203,775 : x
  2. Step 2: Convert to fraction form
    93,020/203,775 = 203,775/x
  3. Step 3: Cross multiply
    93,020x = 203,775 × 203,775
  4. Step 4: Simplify right side
    93,020x = 41,524,250,625
  5. Step 5: Solve for x
    x = 41,524,250,625/93,020
  6. Step 6: Final answer
    x = 446,401.32

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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.