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Finding the Third Proportional to 96,984 and 212,004

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Solution

The third proportional to 96,984 and 212,004 is: 463,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,984 : 212,004 = 212,004 : x
  2. Step 2: Convert to fraction form
    96,984/212,004 = 212,004/x
  3. Step 3: Cross multiply
    96,984x = 212,004 × 212,004
  4. Step 4: Simplify right side
    96,984x = 44,945,696,016
  5. Step 5: Solve for x
    x = 44,945,696,016/96,984
  6. Step 6: Final answer
    x = 463,434.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.