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Finding the Third Proportional to 98,697 and 217,077

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Solution

The third proportional to 98,697 and 217,077 is: 477,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,697 : 217,077 = 217,077 : x
  2. Step 2: Convert to fraction form
    98,697/217,077 = 217,077/x
  3. Step 3: Cross multiply
    98,697x = 217,077 × 217,077
  4. Step 4: Simplify right side
    98,697x = 47,122,423,929
  5. Step 5: Solve for x
    x = 47,122,423,929/98,697
  6. Step 6: Final answer
    x = 477,445.35

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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.