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Finding the Third Proportional to 100,604 and 217,611

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Solution

The third proportional to 100,604 and 217,611 is: 470,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,604 : 217,611 = 217,611 : x
  2. Step 2: Convert to fraction form
    100,604/217,611 = 217,611/x
  3. Step 3: Cross multiply
    100,604x = 217,611 × 217,611
  4. Step 4: Simplify right side
    100,604x = 47,354,547,321
  5. Step 5: Solve for x
    x = 47,354,547,321/100,604
  6. Step 6: Final answer
    x = 470,702.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.