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Finding the Third Proportional to 92,651.34 and 202,294.65

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Solution

The third proportional to 92,651.34 and 202,294.65 is: 441,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,651.34 : 202,294.65 = 202,294.65 : x
  2. Step 2: Convert to fraction form
    92,651.34/202,294.65 = 202,294.65/x
  3. Step 3: Cross multiply
    92,651.34x = 202,294.65 × 202,294.65
  4. Step 4: Simplify right side
    92,651.34x = 40,923,126,366.88
  5. Step 5: Solve for x
    x = 40,923,126,366.88/92,651.34
  6. Step 6: Final answer
    x = 441,689.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.