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Finding the Third Proportional to 202,353,638 and 435,397,932

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Solution

The third proportional to 202,353,638 and 435,397,932 is: 936,831,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,353,638 : 435,397,932 = 435,397,932 : x
  2. Step 2: Convert to fraction form
    202,353,638/435,397,932 = 435,397,932/x
  3. Step 3: Cross multiply
    202,353,638x = 435,397,932 × 435,397,932
  4. Step 4: Simplify right side
    202,353,638x = 189,571,359,189,876,608
  5. Step 5: Solve for x
    x = 189,571,359,189,876,608/202,353,638
  6. Step 6: Final answer
    x = 936,831,979.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.