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Finding the Third Proportional to 92,690.50 and 202,370.50

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Solution

The third proportional to 92,690.50 and 202,370.50 is: 441,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,690.50 : 202,370.50 = 202,370.50 : x
  2. Step 2: Convert to fraction form
    92,690.50/202,370.50 = 202,370.50/x
  3. Step 3: Cross multiply
    92,690.50x = 202,370.50 × 202,370.50
  4. Step 4: Simplify right side
    92,690.50x = 40,953,819,270.25
  5. Step 5: Solve for x
    x = 40,953,819,270.25/92,690.50
  6. Step 6: Final answer
    x = 441,834.05

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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.