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Finding the Third Proportional to 202,267,874.25 and 443,906,082

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Solution

The third proportional to 202,267,874.25 and 443,906,082 is: 974,216,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,267,874.25 : 443,906,082 = 443,906,082 : x
  2. Step 2: Convert to fraction form
    202,267,874.25/443,906,082 = 443,906,082/x
  3. Step 3: Cross multiply
    202,267,874.25x = 443,906,082 × 443,906,082
  4. Step 4: Simplify right side
    202,267,874.25x = 197,052,609,636,590,720
  5. Step 5: Solve for x
    x = 197,052,609,636,590,720/202,267,874.25
  6. Step 6: Final answer
    x = 974,216,050.71

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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.