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Finding the Third Proportional to 96,090 and 206,058

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Solution

The third proportional to 96,090 and 206,058 is: 441,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,090 : 206,058 = 206,058 : x
  2. Step 2: Convert to fraction form
    96,090/206,058 = 206,058/x
  3. Step 3: Cross multiply
    96,090x = 206,058 × 206,058
  4. Step 4: Simplify right side
    96,090x = 42,459,899,364
  5. Step 5: Solve for x
    x = 42,459,899,364/96,090
  6. Step 6: Final answer
    x = 441,876.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.