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Finding the Third Proportional to 99,864 and 214,416

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Solution

The third proportional to 99,864 and 214,416 is: 460,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,864 : 214,416 = 214,416 : x
  2. Step 2: Convert to fraction form
    99,864/214,416 = 214,416/x
  3. Step 3: Cross multiply
    99,864x = 214,416 × 214,416
  4. Step 4: Simplify right side
    99,864x = 45,974,221,056
  5. Step 5: Solve for x
    x = 45,974,221,056/99,864
  6. Step 6: Final answer
    x = 460,368.31

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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.