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Finding the Third Proportional to 98,586 and 213,778.50

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Solution

The third proportional to 98,586 and 213,778.50 is: 463,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,586 : 213,778.50 = 213,778.50 : x
  2. Step 2: Convert to fraction form
    98,586/213,778.50 = 213,778.50/x
  3. Step 3: Cross multiply
    98,586x = 213,778.50 × 213,778.50
  4. Step 4: Simplify right side
    98,586x = 45,701,247,062.25
  5. Step 5: Solve for x
    x = 45,701,247,062.25/98,586
  6. Step 6: Final answer
    x = 463,567.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.