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Finding the Third Proportional to 92,616.75 and 202,358.25

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Solution

The third proportional to 92,616.75 and 202,358.25 is: 442,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,616.75 : 202,358.25 = 202,358.25 : x
  2. Step 2: Convert to fraction form
    92,616.75/202,358.25 = 202,358.25/x
  3. Step 3: Cross multiply
    92,616.75x = 202,358.25 × 202,358.25
  4. Step 4: Simplify right side
    92,616.75x = 40,948,861,343.06
  5. Step 5: Solve for x
    x = 40,948,861,343.06/92,616.75
  6. Step 6: Final answer
    x = 442,132.35

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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.