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Finding the Third Proportional to 95,984 and 209,440

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Solution

The third proportional to 95,984 and 209,440 is: 457,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,984 : 209,440 = 209,440 : x
  2. Step 2: Convert to fraction form
    95,984/209,440 = 209,440/x
  3. Step 3: Cross multiply
    95,984x = 209,440 × 209,440
  4. Step 4: Simplify right side
    95,984x = 43,865,113,600
  5. Step 5: Solve for x
    x = 43,865,113,600/95,984
  6. Step 6: Final answer
    x = 457,004.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.