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Finding the Third Proportional to 47,833 and 97,609

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Solution

The third proportional to 47,833 and 97,609 is: 199,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,833 : 97,609 = 97,609 : x
  2. Step 2: Convert to fraction form
    47,833/97,609 = 97,609/x
  3. Step 3: Cross multiply
    47,833x = 97,609 × 97,609
  4. Step 4: Simplify right side
    47,833x = 9,527,516,881
  5. Step 5: Solve for x
    x = 9,527,516,881/47,833
  6. Step 6: Final answer
    x = 199,182.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.