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Finding the Third Proportional to 75,108,837 and 160,138,520

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Solution

The third proportional to 75,108,837 and 160,138,520 is: 341,429,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,108,837 : 160,138,520 = 160,138,520 : x
  2. Step 2: Convert to fraction form
    75,108,837/160,138,520 = 160,138,520/x
  3. Step 3: Cross multiply
    75,108,837x = 160,138,520 × 160,138,520
  4. Step 4: Simplify right side
    75,108,837x = 25,644,345,587,790,400
  5. Step 5: Solve for x
    x = 25,644,345,587,790,400/75,108,837
  6. Step 6: Final answer
    x = 341,429,139.53

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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.