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Finding the Third Proportional to 93,790 and 207,850

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Solution

The third proportional to 93,790 and 207,850 is: 460,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,790 : 207,850 = 207,850 : x
  2. Step 2: Convert to fraction form
    93,790/207,850 = 207,850/x
  3. Step 3: Cross multiply
    93,790x = 207,850 × 207,850
  4. Step 4: Simplify right side
    93,790x = 43,201,622,500
  5. Step 5: Solve for x
    x = 43,201,622,500/93,790
  6. Step 6: Final answer
    x = 460,620.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.