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Finding the Third Proportional to 96,070 and 209,366

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Solution

The third proportional to 96,070 and 209,366 is: 456,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,070 : 209,366 = 209,366 : x
  2. Step 2: Convert to fraction form
    96,070/209,366 = 209,366/x
  3. Step 3: Cross multiply
    96,070x = 209,366 × 209,366
  4. Step 4: Simplify right side
    96,070x = 43,834,121,956
  5. Step 5: Solve for x
    x = 43,834,121,956/96,070
  6. Step 6: Final answer
    x = 456,272.74

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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.