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Finding the Third Proportional to 161,203,324.50 and 349,775,857.13

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Solution

The third proportional to 161,203,324.50 and 349,775,857.13 is: 758,936,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,203,324.50 : 349,775,857.13 = 349,775,857.13 : x
  2. Step 2: Convert to fraction form
    161,203,324.50/349,775,857.13 = 349,775,857.13/x
  3. Step 3: Cross multiply
    161,203,324.50x = 349,775,857.13 × 349,775,857.13
  4. Step 4: Simplify right side
    161,203,324.50x = 122,343,150,227,528,416
  5. Step 5: Solve for x
    x = 122,343,150,227,528,416/161,203,324.50
  6. Step 6: Final answer
    x = 758,936,892.94

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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.