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Finding the Third Proportional to 92,266.88 and 201,766.13

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Solution

The third proportional to 92,266.88 and 201,766.13 is: 441,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,266.88 : 201,766.13 = 201,766.13 : x
  2. Step 2: Convert to fraction form
    92,266.88/201,766.13 = 201,766.13/x
  3. Step 3: Cross multiply
    92,266.88x = 201,766.13 × 201,766.13
  4. Step 4: Simplify right side
    92,266.88x = 40,709,569,197.52
  5. Step 5: Solve for x
    x = 40,709,569,197.52/92,266.88
  6. Step 6: Final answer
    x = 441,215.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.