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Finding the Third Proportional to 202,353,640 and 435,397,936

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Solution

The third proportional to 202,353,640 and 435,397,936 is: 936,831,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,353,640 : 435,397,936 = 435,397,936 : x
  2. Step 2: Convert to fraction form
    202,353,640/435,397,936 = 435,397,936/x
  3. Step 3: Cross multiply
    202,353,640x = 435,397,936 × 435,397,936
  4. Step 4: Simplify right side
    202,353,640x = 189,571,362,673,060,096
  5. Step 5: Solve for x
    x = 189,571,362,673,060,096/202,353,640
  6. Step 6: Final answer
    x = 936,831,987.17

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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.