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Finding the Third Proportional to 96,292 and 209,480

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Solution

The third proportional to 96,292 and 209,480 is: 455,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,292 : 209,480 = 209,480 : x
  2. Step 2: Convert to fraction form
    96,292/209,480 = 209,480/x
  3. Step 3: Cross multiply
    96,292x = 209,480 × 209,480
  4. Step 4: Simplify right side
    96,292x = 43,881,870,400
  5. Step 5: Solve for x
    x = 43,881,870,400/96,292
  6. Step 6: Final answer
    x = 455,716.68

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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.