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Finding the Third Proportional to 116,847 and 190,783

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Solution

The third proportional to 116,847 and 190,783 is: 311,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,847 : 190,783 = 190,783 : x
  2. Step 2: Convert to fraction form
    116,847/190,783 = 190,783/x
  3. Step 3: Cross multiply
    116,847x = 190,783 × 190,783
  4. Step 4: Simplify right side
    116,847x = 36,398,153,089
  5. Step 5: Solve for x
    x = 36,398,153,089/116,847
  6. Step 6: Final answer
    x = 311,502.68

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.