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Finding the Third Proportional to 90,623 and 210,696

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Solution

The third proportional to 90,623 and 210,696 is: 489,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,623 : 210,696 = 210,696 : x
  2. Step 2: Convert to fraction form
    90,623/210,696 = 210,696/x
  3. Step 3: Cross multiply
    90,623x = 210,696 × 210,696
  4. Step 4: Simplify right side
    90,623x = 44,392,804,416
  5. Step 5: Solve for x
    x = 44,392,804,416/90,623
  6. Step 6: Final answer
    x = 489,862.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.