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Finding the Third Proportional to 92,423 and 199,264

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Solution

The third proportional to 92,423 and 199,264 is: 429,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,423 : 199,264 = 199,264 : x
  2. Step 2: Convert to fraction form
    92,423/199,264 = 199,264/x
  3. Step 3: Cross multiply
    92,423x = 199,264 × 199,264
  4. Step 4: Simplify right side
    92,423x = 39,706,141,696
  5. Step 5: Solve for x
    x = 39,706,141,696/92,423
  6. Step 6: Final answer
    x = 429,613.21

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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.