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Finding the Third Proportional to 93,765 and 202,189

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Solution

The third proportional to 93,765 and 202,189 is: 435,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,765 : 202,189 = 202,189 : x
  2. Step 2: Convert to fraction form
    93,765/202,189 = 202,189/x
  3. Step 3: Cross multiply
    93,765x = 202,189 × 202,189
  4. Step 4: Simplify right side
    93,765x = 40,880,391,721
  5. Step 5: Solve for x
    x = 40,880,391,721/93,765
  6. Step 6: Final answer
    x = 435,987.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.