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Finding the Third Proportional to 123,592,826 and 186,979,923

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Solution

The third proportional to 123,592,826 and 186,979,923 is: 282,876,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,592,826 : 186,979,923 = 186,979,923 : x
  2. Step 2: Convert to fraction form
    123,592,826/186,979,923 = 186,979,923/x
  3. Step 3: Cross multiply
    123,592,826x = 186,979,923 × 186,979,923
  4. Step 4: Simplify right side
    123,592,826x = 34,961,491,605,085,928
  5. Step 5: Solve for x
    x = 34,961,491,605,085,928/123,592,826
  6. Step 6: Final answer
    x = 282,876,383.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.