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Finding the Third Proportional to 96,032 and 209,284

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Solution

The third proportional to 96,032 and 209,284 is: 456,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,032 : 209,284 = 209,284 : x
  2. Step 2: Convert to fraction form
    96,032/209,284 = 209,284/x
  3. Step 3: Cross multiply
    96,032x = 209,284 × 209,284
  4. Step 4: Simplify right side
    96,032x = 43,799,792,656
  5. Step 5: Solve for x
    x = 43,799,792,656/96,032
  6. Step 6: Final answer
    x = 456,095.81

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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.