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Finding the Third Proportional to 75,108,832.50 and 160,138,512

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Solution

The third proportional to 75,108,832.50 and 160,138,512 is: 341,429,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,108,832.50 : 160,138,512 = 160,138,512 : x
  2. Step 2: Convert to fraction form
    75,108,832.50/160,138,512 = 160,138,512/x
  3. Step 3: Cross multiply
    75,108,832.50x = 160,138,512 × 160,138,512
  4. Step 4: Simplify right side
    75,108,832.50x = 25,644,343,025,574,144
  5. Step 5: Solve for x
    x = 25,644,343,025,574,144/75,108,832.50
  6. Step 6: Final answer
    x = 341,429,125.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.