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Finding the Third Proportional to 94,813 and 209,308

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Solution

The third proportional to 94,813 and 209,308 is: 462,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,813 : 209,308 = 209,308 : x
  2. Step 2: Convert to fraction form
    94,813/209,308 = 209,308/x
  3. Step 3: Cross multiply
    94,813x = 209,308 × 209,308
  4. Step 4: Simplify right side
    94,813x = 43,809,838,864
  5. Step 5: Solve for x
    x = 43,809,838,864/94,813
  6. Step 6: Final answer
    x = 462,065.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.