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Finding the Third Proportional to 92,710 and 199,397

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Solution

The third proportional to 92,710 and 199,397 is: 428,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,710 : 199,397 = 199,397 : x
  2. Step 2: Convert to fraction form
    92,710/199,397 = 199,397/x
  3. Step 3: Cross multiply
    92,710x = 199,397 × 199,397
  4. Step 4: Simplify right side
    92,710x = 39,759,163,609
  5. Step 5: Solve for x
    x = 39,759,163,609/92,710
  6. Step 6: Final answer
    x = 428,855.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.