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Finding the Third Proportional to 95,712 and 209,838

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Solution

The third proportional to 95,712 and 209,838 is: 460,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,712 : 209,838 = 209,838 : x
  2. Step 2: Convert to fraction form
    95,712/209,838 = 209,838/x
  3. Step 3: Cross multiply
    95,712x = 209,838 × 209,838
  4. Step 4: Simplify right side
    95,712x = 44,031,986,244
  5. Step 5: Solve for x
    x = 44,031,986,244/95,712
  6. Step 6: Final answer
    x = 460,046.66

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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.