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Finding the Third Proportional to 75,311,993 and 116,376,173

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Solution

The third proportional to 75,311,993 and 116,376,173 is: 179,830,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,311,993 : 116,376,173 = 116,376,173 : x
  2. Step 2: Convert to fraction form
    75,311,993/116,376,173 = 116,376,173/x
  3. Step 3: Cross multiply
    75,311,993x = 116,376,173 × 116,376,173
  4. Step 4: Simplify right side
    75,311,993x = 13,543,413,642,125,928
  5. Step 5: Solve for x
    x = 13,543,413,642,125,928/75,311,993
  6. Step 6: Final answer
    x = 179,830,769.35

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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.