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Finding the Third Proportional to 99,816 and 214,236

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Solution

The third proportional to 99,816 and 214,236 is: 459,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,816 : 214,236 = 214,236 : x
  2. Step 2: Convert to fraction form
    99,816/214,236 = 214,236/x
  3. Step 3: Cross multiply
    99,816x = 214,236 × 214,236
  4. Step 4: Simplify right side
    99,816x = 45,897,063,696
  5. Step 5: Solve for x
    x = 45,897,063,696/99,816
  6. Step 6: Final answer
    x = 459,816.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.