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Finding the Third Proportional to 202,353,635 and 435,397,927

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Solution

The third proportional to 202,353,635 and 435,397,927 is: 936,831,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,353,635 : 435,397,927 = 435,397,927 : x
  2. Step 2: Convert to fraction form
    202,353,635/435,397,927 = 435,397,927/x
  3. Step 3: Cross multiply
    202,353,635x = 435,397,927 × 435,397,927
  4. Step 4: Simplify right side
    202,353,635x = 189,571,354,835,897,344
  5. Step 5: Solve for x
    x = 189,571,354,835,897,344/202,353,635
  6. Step 6: Final answer
    x = 936,831,971.59

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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.