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Finding the Third Proportional to 109,369,638 and 159,902,232

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Solution

The third proportional to 109,369,638 and 159,902,232 is: 233,782,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,369,638 : 159,902,232 = 159,902,232 : x
  2. Step 2: Convert to fraction form
    109,369,638/159,902,232 = 159,902,232/x
  3. Step 3: Cross multiply
    109,369,638x = 159,902,232 × 159,902,232
  4. Step 4: Simplify right side
    109,369,638x = 25,568,723,798,581,824
  5. Step 5: Solve for x
    x = 25,568,723,798,581,824/109,369,638
  6. Step 6: Final answer
    x = 233,782,649.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.