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Finding the Third Proportional to 75,537,198 and 120,115,770

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Solution

The third proportional to 75,537,198 and 120,115,770 is: 191,002,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,537,198 : 120,115,770 = 120,115,770 : x
  2. Step 2: Convert to fraction form
    75,537,198/120,115,770 = 120,115,770/x
  3. Step 3: Cross multiply
    75,537,198x = 120,115,770 × 120,115,770
  4. Step 4: Simplify right side
    75,537,198x = 14,427,798,202,692,900
  5. Step 5: Solve for x
    x = 14,427,798,202,692,900/75,537,198
  6. Step 6: Final answer
    x = 191,002,560.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.