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Finding the Third Proportional to 95,882 and 209,066

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Solution

The third proportional to 95,882 and 209,066 is: 455,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,882 : 209,066 = 209,066 : x
  2. Step 2: Convert to fraction form
    95,882/209,066 = 209,066/x
  3. Step 3: Cross multiply
    95,882x = 209,066 × 209,066
  4. Step 4: Simplify right side
    95,882x = 43,708,592,356
  5. Step 5: Solve for x
    x = 43,708,592,356/95,882
  6. Step 6: Final answer
    x = 455,858.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.