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Finding the Third Proportional to 161,203,314 and 349,775,838

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Solution

The third proportional to 161,203,314 and 349,775,838 is: 758,936,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,203,314 : 349,775,838 = 349,775,838 : x
  2. Step 2: Convert to fraction form
    161,203,314/349,775,838 = 349,775,838/x
  3. Step 3: Cross multiply
    161,203,314x = 349,775,838 × 349,775,838
  4. Step 4: Simplify right side
    161,203,314x = 122,343,136,848,602,240
  5. Step 5: Solve for x
    x = 122,343,136,848,602,240/161,203,314
  6. Step 6: Final answer
    x = 758,936,859.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.