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Finding the Third Proportional to 99,894 and 214,476

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Solution

The third proportional to 99,894 and 214,476 is: 460,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,894 : 214,476 = 214,476 : x
  2. Step 2: Convert to fraction form
    99,894/214,476 = 214,476/x
  3. Step 3: Cross multiply
    99,894x = 214,476 × 214,476
  4. Step 4: Simplify right side
    99,894x = 45,999,954,576
  5. Step 5: Solve for x
    x = 45,999,954,576/99,894
  6. Step 6: Final answer
    x = 460,487.66

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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.