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Finding the Third Proportional to 98,683 and 217,050

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Solution

The third proportional to 98,683 and 217,050 is: 477,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,683 : 217,050 = 217,050 : x
  2. Step 2: Convert to fraction form
    98,683/217,050 = 217,050/x
  3. Step 3: Cross multiply
    98,683x = 217,050 × 217,050
  4. Step 4: Simplify right side
    98,683x = 47,110,702,500
  5. Step 5: Solve for x
    x = 47,110,702,500/98,683
  6. Step 6: Final answer
    x = 477,394.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.