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Finding the Third Proportional to 95,258 and 209,317

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Solution

The third proportional to 95,258 and 209,317 is: 459,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,258 : 209,317 = 209,317 : x
  2. Step 2: Convert to fraction form
    95,258/209,317 = 209,317/x
  3. Step 3: Cross multiply
    95,258x = 209,317 × 209,317
  4. Step 4: Simplify right side
    95,258x = 43,813,606,489
  5. Step 5: Solve for x
    x = 43,813,606,489/95,258
  6. Step 6: Final answer
    x = 459,946.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.