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Finding the Third Proportional to 75,143,003,184 and 161,042,500,296

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Solution

The third proportional to 75,143,003,184 and 161,042,500,296 is: 345,137,748,062.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,143,003,184 : 161,042,500,296 = 161,042,500,296 : x
  2. Step 2: Convert to fraction form
    75,143,003,184/161,042,500,296 = 161,042,500,296/x
  3. Step 3: Cross multiply
    75,143,003,184x = 161,042,500,296 × 161,042,500,296
  4. Step 4: Simplify right side
    75,143,003,184x = 25,934,686,901,587,159,285,760
  5. Step 5: Solve for x
    x = 25,934,686,901,587,159,285,760/75,143,003,184
  6. Step 6: Final answer
    x = 345,137,748,062.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.