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Finding the Third Proportional to 92,302.88 and 201,690

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Solution

The third proportional to 92,302.88 and 201,690 is: 440,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,302.88 : 201,690 = 201,690 : x
  2. Step 2: Convert to fraction form
    92,302.88/201,690 = 201,690/x
  3. Step 3: Cross multiply
    92,302.88x = 201,690 × 201,690
  4. Step 4: Simplify right side
    92,302.88x = 40,678,856,100
  5. Step 5: Solve for x
    x = 40,678,856,100/92,302.88
  6. Step 6: Final answer
    x = 440,710.61

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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.