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Finding the Third Proportional to 98,038 and 214,744

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Solution

The third proportional to 98,038 and 214,744 is: 470,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,038 : 214,744 = 214,744 : x
  2. Step 2: Convert to fraction form
    98,038/214,744 = 214,744/x
  3. Step 3: Cross multiply
    98,038x = 214,744 × 214,744
  4. Step 4: Simplify right side
    98,038x = 46,114,985,536
  5. Step 5: Solve for x
    x = 46,114,985,536/98,038
  6. Step 6: Final answer
    x = 470,378.69

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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.