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Finding the Third Proportional to 75,108,835 and 160,138,516

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Solution

The third proportional to 75,108,835 and 160,138,516 is: 341,429,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,108,835 : 160,138,516 = 160,138,516 : x
  2. Step 2: Convert to fraction form
    75,108,835/160,138,516 = 160,138,516/x
  3. Step 3: Cross multiply
    75,108,835x = 160,138,516 × 160,138,516
  4. Step 4: Simplify right side
    75,108,835x = 25,644,344,306,682,256
  5. Step 5: Solve for x
    x = 25,644,344,306,682,256/75,108,835
  6. Step 6: Final answer
    x = 341,429,131.56

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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.