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Finding the Third Proportional to 75,311,782 and 116,375,908

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Solution

The third proportional to 75,311,782 and 116,375,908 is: 179,830,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,311,782 : 116,375,908 = 116,375,908 : x
  2. Step 2: Convert to fraction form
    75,311,782/116,375,908 = 116,375,908/x
  3. Step 3: Cross multiply
    75,311,782x = 116,375,908 × 116,375,908
  4. Step 4: Simplify right side
    75,311,782x = 13,543,351,962,824,464
  5. Step 5: Solve for x
    x = 13,543,351,962,824,464/75,311,782
  6. Step 6: Final answer
    x = 179,830,454.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.