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Finding the Third Proportional to 92,266.50 and 195,549

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Solution

The third proportional to 92,266.50 and 195,549 is: 414,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,266.50 : 195,549 = 195,549 : x
  2. Step 2: Convert to fraction form
    92,266.50/195,549 = 195,549/x
  3. Step 3: Cross multiply
    92,266.50x = 195,549 × 195,549
  4. Step 4: Simplify right side
    92,266.50x = 38,239,411,401
  5. Step 5: Solve for x
    x = 38,239,411,401/92,266.50
  6. Step 6: Final answer
    x = 414,445.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.