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Finding the Third Proportional to 201,981,560 and 436,248,096

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Solution

The third proportional to 201,981,560 and 436,248,096 is: 942,226,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,981,560 : 436,248,096 = 436,248,096 : x
  2. Step 2: Convert to fraction form
    201,981,560/436,248,096 = 436,248,096/x
  3. Step 3: Cross multiply
    201,981,560x = 436,248,096 × 436,248,096
  4. Step 4: Simplify right side
    201,981,560x = 190,312,401,263,625,216
  5. Step 5: Solve for x
    x = 190,312,401,263,625,216/201,981,560
  6. Step 6: Final answer
    x = 942,226,613.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.