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Finding the Third Proportional to 161,203,340 and 349,775,890

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Solution

The third proportional to 161,203,340 and 349,775,890 is: 758,936,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,203,340 : 349,775,890 = 349,775,890 : x
  2. Step 2: Convert to fraction form
    161,203,340/349,775,890 = 349,775,890/x
  3. Step 3: Cross multiply
    161,203,340x = 349,775,890 × 349,775,890
  4. Step 4: Simplify right side
    161,203,340x = 122,343,173,225,292,096
  5. Step 5: Solve for x
    x = 122,343,173,225,292,096/161,203,340
  6. Step 6: Final answer
    x = 758,936,962.63

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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.