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Finding the Third Proportional to 69,036,186 and 107,191,839.75

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Solution

The third proportional to 69,036,186 and 107,191,839.75 is: 166,435,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,036,186 : 107,191,839.75 = 107,191,839.75 : x
  2. Step 2: Convert to fraction form
    69,036,186/107,191,839.75 = 107,191,839.75/x
  3. Step 3: Cross multiply
    69,036,186x = 107,191,839.75 × 107,191,839.75
  4. Step 4: Simplify right side
    69,036,186x = 11,490,090,508,989,680
  5. Step 5: Solve for x
    x = 11,490,090,508,989,680/69,036,186
  6. Step 6: Final answer
    x = 166,435,766.15

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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.