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Finding the Third Proportional to 161,510,416 and 350,279,456

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Solution

The third proportional to 161,510,416 and 350,279,456 is: 759,676,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,510,416 : 350,279,456 = 350,279,456 : x
  2. Step 2: Convert to fraction form
    161,510,416/350,279,456 = 350,279,456/x
  3. Step 3: Cross multiply
    161,510,416x = 350,279,456 × 350,279,456
  4. Step 4: Simplify right side
    161,510,416x = 122,695,697,295,655,936
  5. Step 5: Solve for x
    x = 122,695,697,295,655,936/161,510,416
  6. Step 6: Final answer
    x = 759,676,684.23

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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.