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Finding the Third Proportional to 75,311,916 and 116,376,091.50

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Solution

The third proportional to 75,311,916 and 116,376,091.50 is: 179,830,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,311,916 : 116,376,091.50 = 116,376,091.50 : x
  2. Step 2: Convert to fraction form
    75,311,916/116,376,091.50 = 116,376,091.50/x
  3. Step 3: Cross multiply
    75,311,916x = 116,376,091.50 × 116,376,091.50
  4. Step 4: Simplify right side
    75,311,916x = 13,543,394,672,816,372
  5. Step 5: Solve for x
    x = 13,543,394,672,816,372/75,311,916
  6. Step 6: Final answer
    x = 179,830,701.33

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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.