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Finding the Third Proportional to 96,430 and 209,262

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Solution

The third proportional to 96,430 and 209,262 is: 454,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,430 : 209,262 = 209,262 : x
  2. Step 2: Convert to fraction form
    96,430/209,262 = 209,262/x
  3. Step 3: Cross multiply
    96,430x = 209,262 × 209,262
  4. Step 4: Simplify right side
    96,430x = 43,790,584,644
  5. Step 5: Solve for x
    x = 43,790,584,644/96,430
  6. Step 6: Final answer
    x = 454,117.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.