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Finding the Third Proportional to 161,203,380.75 and 349,775,970.75

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Solution

The third proportional to 161,203,380.75 and 349,775,970.75 is: 758,937,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,203,380.75 : 349,775,970.75 = 349,775,970.75 : x
  2. Step 2: Convert to fraction form
    161,203,380.75/349,775,970.75 = 349,775,970.75/x
  3. Step 3: Cross multiply
    161,203,380.75x = 349,775,970.75 × 349,775,970.75
  4. Step 4: Simplify right side
    161,203,380.75x = 122,343,229,714,104,848
  5. Step 5: Solve for x
    x = 122,343,229,714,104,848/161,203,380.75
  6. Step 6: Final answer
    x = 758,937,121.20

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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.